Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?

Answers

Answer 1

Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

Therefore, the ship is approximately 2399.23 meters away from the shore.

Therefore, the both ships are approximately 1944.19 meters apart.


Related Questions

What are the volume of a rectangular pyramid with a length of 39 m, a width of 15 m, and a height of 16 m?

Answers

Answer:

3120 m³

Step-by-step explanation:

In the right triangle shown,

m



V

=

60

°

m∠V=60°m, angle, V, equals, 60, degree and

U

V

=

18

UV=18U, V, equals, 18.


60

°

60°

x

x

18

18

U

U

W

W

V

V

How long is

U

W

UWU, W?

Answers

Answer:

what

Step-by-step explanation:

What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

Answers

Answer:

15.866

Step-by-step explanation:

you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).

12+13+29+18+61+35+21 = 189189/7 = 27

you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.

first, subtract the mean from all the data points

12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6

then, square each calculated value from above

-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36

then, add the squared values together

225+196+4+81+1156+64+36 = 1762

you would then divide 1762 by 7 (number of data values given orginally)

1762/7 = 251.714

finally, take the square root of 251.714 to find the standard deviation

[tex]\sqrt{251.714} = 15.866[/tex]
Standard deviation is 17.1

Find the length DE. Round your answer to the nearest tenth of a meter

Answers

Answer:

10.7 m

Step-by-step explanation:

Please help me! Best answer gets brainliest!​

Answers

Answer:

Step-by-step explanation:

Answer:

This probably isn't much help but I got xy^5. It isn't on the multiple-choice but xy^6 is the closest to my answer so I would guess it's that.

step-by-step explanation:

3. Solve triangle ABC if a = 4, b = 6, and c = 5.
Show work

Answers

Answer:

4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps

Step-by-step explanation:

https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles

1/2 2/3 3/4 the average​

Answers

Answer:

23/36

Step-by-step explanation:

Add all the numbers

1/2 + 2/3 + 3/4 = 23/12

Divide by 3

23/12 / 3 = 23/36

At a football stadium, 4% of the fans in attendance were teenagers. If there were 80
teenagers at the football stadium, what was the total number of people at the
stadium?

Answers

Answer:

2000 people

Step-by-step explanation:

4%= 80

2%=40

1%=20

100%= 2000 people

Hope this helped! :)

Answer:

2000 people

Step-by-step explanation:

80:4%

y:100%

[tex]\frac{80}{y} =\frac{4}{100}[/tex]

y × 4 = 80 × 100

4y = 8000

4y ÷ 4 = 8000 ÷ 4

y = 2000

PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.

Answers

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

The following statement tells one way to map preimage points to image points when performing a transformation in the coordinate plane. (x, y) → (x + 8, y − 3) This can be read, “The point with coordinates (x, y) is mapped to the point with coordinates (x, y) → (x + 8, y − 3).” With this transformaƟon, for example, (3, 5) is mapped to (3 + 8, 5 – 3) or (11, 2). The figure below shows how the triangle ABC is mapped to A′B′C′. Notice that the pre‐image and image appear to be congruent. Directions: Answer the following questions, showing all pertinent work. Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank. 1. Complete the transformation statement for moving Paul’s pole barn. (x, y)→(x + _______ , y + _______ )

Answers

Answer: What are the answers to your question?

Step-by-step explanation:

X, and Y they are both axis's so most likely you might be using a grid but the arn't showing so make a grid and find the coordinats

Find the area. The figure is not drawn to scale.

a
30 yd2
b
6.5 yd2
c
15 yd2
d
13 yd2

Answers

Answer:

The area if the triangle is 15 yd^2

Step-by-step explanation:

The formula to find the area if a triangle is base × height ÷ 2. So for this question it is 10×3÷2=15

help please ill give you brainliest if it’s right

Answers

Answer:

[tex] \frac{1 }{3} \times \pi \times {4}^{2} \times 10 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {4}^{3} = 6 \times \pi \times {4}^{2} = 301.44[/tex]

Lol, it seems like nobody helps anyone here anymore. It’s just full of bots

Answers

Answer:

Nah i gotcha, I'm always helping around people, as long as i understand the question myself Imfao

What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.

Answers

Step-by-step explanation:

volume of sphere=4/3πr³

4/3×22/7×10×10419.0

stay safe healthy and happy .

Answer:

V = 4188.79 in^3

Step-by-step explanation:

The volume of a sphere is V = (4/3)(pi)(10 in)^3, or (using a calculator):

V = 4188.79 in^3

What is the volume of this triangular prism?

Answers

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

Answer:

[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]

Step-by-step explanation:

we are given a triangular prism

we want to figure out the Volume of the given Prism

remember that,

[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]

since the base is triangle the formula of base area should be the formula of the area of a triangle

thus,

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]

substitute

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]

remove parentheses:

[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]

reduce fraction:

[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]

simplify multiplication:

[tex]\displaystyle V _{ \text{prism}} = 270[/tex]

hence, the Volume of the given prism is 270cm³

What is the opposite of
π​

Answers

The opposite of pi = diameter / circumference.

Answer:

diameter is your answer

please answer as soon as possible

Answers

Answer:

x>5

Step-by-step explanation:

hope this helps you!

Hopes this helps:

Answer: x > -5

Please mark as brainlist.

What is m X to the nearest degree?
Help plssss

Answers

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then

∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A

The answer to your question is A

please help me out, i need it right now please.

Answers

The answer is B hopes this helps

What type of angle is this pls hurry!

Answers

Answer:

Its an Obtuse angles

Step-by-step explanation:

x+79=2x-37

(x+79)+(-79)=(2x-37)+(-79)

x+79-79=(2x-37)-79

x=2x-37-79

x=116

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Convert radian measure into degrees.

Answers

From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .

There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar

Answers

Answer:

both jars contain 12 marbles

for the first jar the probability is 4/12 which is 33%

for the second jar the probability is 6/12 which is 50%

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

theres 12 mables in each jar in this situation.

The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers  

No, the Normal/large sample condition is not met.

Option C is the correct answer.

What is a t-test?

A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.

It is used when the sample size is small or the population standard deviation is unknown.

We have,

The conditions for inference in a t-test are:

Random condition:

The sample should be selected randomly from the population to ensure that the sample is representative of the population.

Normal/large sample condition:

The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.

Independence condition:

The observations in the sample should be independent of each other.

In this case,

The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.

Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.

Thus,

No, the Normal/large sample condition is not met.

Learn more about t-test here:

https://brainly.com/question/15870238

#SPJ3

Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?

Answers

Answer:

33 years and 4 months.

Step-by-step explanation:

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months

What does x and y equal

Answers

It equals 0
Xxxxxxxxxxxxx

Please just show work on how to solve!

Answers

Answer:

(5,7)

Step-by-step explanation:

If r is directly proportional to s and r 8 when s 3 find s when r 11

Answers

Answer:

s = 33/8 or 4 1/8

Step-by-step explanation:

find 'k', constant of proportionality first:

8 = 3k

k = 8/3

11 = 8/3s

s = 11/1 ÷ 8/3

s = 11/1 x 3/8

s = 33/8 or 4 1/8

The cadets had to complete a 12 mile hike in 3 hours. How many miles an hour did they have to walk?

Answers

4 mph, 12/3=4
Hope this helps!

What is the slope of the line that passes through (12, -18) and (11, 12)?
QUICK!!

Answers

Answer:

slope= m=-30 hope that helps

James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.




THE ANSWER IS B AND E

Answers

Answer:

B and E

Step-by-step explanation:

edge 2021

Answer:

b e

Step-by-step explanation:

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