An operator at the top of a lighthouse sights a sailboat. The point from which the sighting is made is 25 m above sea level. The angle of depression of the sighting is 10 degrees. How far is the boat from the base of the lighthouse?

Answers

Answer 1

Answer:

141.78 m

Step-by-step explanation:

Let d = distance of boat from the base of the lighthouse

Tan 10 = 25/d

d tan 10 = 25

d = 25/tan 10

d = 141.78 m


Related Questions

Slope -1/3, y-intercept = 5

Answers

Answer:

y=-1/3x+5

Step-by-step explanation:

I know the equation would be y=-1/3x+5 because of slope intercept form.

y=mx+b

y= the y coordinate of a point on the graph

m= slope of the graph

x= the x coordinate of a point on the graph

b= y intercept

We know the slope of the graph is -1/3, and we know the y- intercept of the graph is 5.

So, the equation is y=-1/3x+5.

HELP DUE IN 10 MINUTES

Answers

M > -2 (I think?)

-3 can’t be right because 3(-3) = -9 and -9 + 14 = 5, which is less than 8 so 5>8 would be false.

The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
F {22, 32, 42, 52, 62, 72}
G {1, 2, 3, 4, 5, 6}
H {12, 24, 36, 48, 60, 72}
J {22, 34, 46, 58, 70, 82}

Answers

Answer:

F

Step-by-step explanation:

1(10) + 12= 22

2(10) + 12= 32

etc.....

44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)

Answers

Answer:

cgal to the store with me for the wounds on the number and the kids to today because I'm so 4

I need help with this please lol

Answers

Answer:

360 degrees

Step-by-step explanation:

Write the equation of the line based on the given information explain the answer in slope intercept form

Answers

Answer:

y = 2/3 x - 3

Step-by-step explanation:

substitute the given slope and the coordinate into the slope-intercpet form:

y = mx + b  to solve for b,

-1 = 2/3(3) + b

=> b = -3

y = 2/3 x - 3

Is rolling a 5 on a traditional number cube

1. Impossible
2. Unlikely
3. Likely
4. Certain

Answers

Answer:

3. Likely

Step-by-step explanation:

Yea 3 because it can be the other answers

Question 6 of 20 :
Select the best answer for the question
6. The solution to 2 x 27 will be what kind of number?
A. Even
B. Odd
C. Prime
D. Perfect square
Mark for review (Will be highlighted on the review page)
<< Previous Question
NexhQuestion >>

Answers

Answer:

The answer is A. (an even number)

Step-by-step explanation:

2 x 27 is equivalent to 54 and 54 is an even number.

it is b because i said it

Andrea reads 36 pages each night. How many pages does Andrea read in 42 nights?

A 1,502pages

B 1,512pages

C 1,552pages

D 1,582pages

Answers

Answer:

1,512

Step-by-step explanation:

36x42

(2/3)^2 without exponents

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^{2} =\frac{2^2}{3^2} =4/9[/tex]

Hope that helps :)

I'm begging you please please help please please ASAP please please help please please ASAP please please help please please ASAP please please help please please ASAP

Answers

Answer:

15

Step-by-step explanation:

the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is

[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]

now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x

to find y we use tan(45) = [tex]\frac{y}{x}[/tex]

multiply both sides by x = 15 and simplify to get y = 15

can anyone help with this pls

Answers

Answer:

9

Step-by-step explanation:

Answer:

9 square meter

Step-by-step explanation:

1/2xbasexheight

=1/2x6x3

=9

plz mark me as brainliest.

What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth. A cylinder with height 96 millimeters and diameter of 66 millimeters.

Answers

Answer

328,268.2 mm cubed is correct!

Step-by-step explanation:

If you use the formula V=πr²h with these steps:

1. Calculate the area of the base (which is a circle)

2. use the equation πr² where r is the radius of the circle.

3. Then, multiply the area of the base by the height of the cylinder

4. The volume is found!

Answer:

328,268.2 cubic millimeters

Step-by-step explanation:

I did it on edge

Evaluate the following expression.

1/5^-2

Answers

The answer is 25. I hope this helps.

uh someone help D:
ill make the points high

Answers

Answer:

m = 18/4 = 9/2 = 4.5

Step-by-step explanation:

Notice that the line passes through (0, 0) and (4, 18).  Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5             This is Answer B

Please help I’m having a hard time :(

Answers

Answer:

i think you're right- you seem to have all numbers squared correctly, also every negative value squared becomes a positive number, which means that your answers are correct.. what is your issue?

Step-by-step explanation:

The expenses E and income I for making and selling T-shirts with a
school logo are given by the equations E = 535 +4.50n and I = 12n,
where n is the number of T-shirts.

Expenses: Slope=
Y-Intercept =


income: Slope=
Y-Intercept

Answers

Answer: n = 71.333

Step-by-step explanation: E (n) = 535 + 4.50
I (n) = 12n
E = I
535 + 4.5n = 12n
7.5 n = 535
n = 71.333

{1+8+27+64+125...} find the next 9 terms

Answers

Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744

Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...

{..216+342+512+729+1000+1728+2197+2744}

Can someone plz help me with this I need to get an 92 choose all that apply

Answers

Step-by-step explanation:

54, 54, 72

[tex]180 - 2 \times 54 = \\ = 180 - 108 = \\ = 72[/tex]

Five more then six times a number is 17.what is the number

Answers

Answer:

2

Step-by-step explanation:

You set up and equation:

5+6x = 17

You solve it and get 2.

Step-by-step explanation:

17-5 = 12

If cos x = -√3/2
in which quadrants could a.
I and IV, only
b.
II and IV, only
c.
II and III, only
d.
I and III, only

Answers

Answer:

c

Step-by-step explanation:

Type the correct answer in the box the coordinates of vertex is are blank and blank the area of rectangle pqrs is blank square units

Answers

Answer:

first is x second is y third is -2-3

Step-by-step explanation:

make me brainliest or yo gay

6v=-9 v= what does v =

Answers

Answer:

v = -3/2

Step-by-step explanation:

6v = -9

v = -9/6

v = -3/2

Joe wants to rent a boat and spend less than $33. Boat cost $7 per hour, and Joe has a discount coupon for $9 off. What are the possible numbers of hours Joe could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.

Answers

Inequality: 7t - 9 < 33
Solve the inequality
7t < 42
t < 6

$7 per hour plus $9 off

$7x5=$35-$9 discount=$26

$26+$7=$33

6hours=$42-$9=$33

Joe could rent the boat for 6 hours

The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

Write the inequality in words.

5n – 10 > 26


A. Ten less than a number is less than or equal to twenty-six.


B. Ten less than five times a number is greater than twenty-six.


C. Five times n less than ten is twenty-six.


D. Ten plus five times n is less than or equal to twenty-six.

Answer:

Write the inequality in words.

5n – 10 > 26

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:
n > 36/5

Interval Notation:
(36/5, ∞)

THANKS
0

Answers

Answer:

B. Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n > 36 /5

Interval Notation:

( 36 /5 , ∞ )

A ship sails 9 km due West, then 5 km due South.

Find the bearing of the ship from its initial position.

Give your answer correct to 2 decimal places.

Answers

Answer:

10.29 km

Step-by-step explanation:

Given that,

A ship sails 9 km due West, then 5 km due South.

We need to find the distance of the ship from its initial position. Let the distance be d. We can find it as follows :

[tex]d=\sqrt{9^2+5^2} \\\\d=10.29\ km[/tex]

So, the required distance of the ship from its initial position is equal to 10.29 km.

Please answer this is my last few points

Answers

Answer:

first is some and second is all

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!!!!!!!!!!

Answer:

1. All

2. Some

Step-by-step explanation:

I belive this awnser is correct

Marie's dad drives an SUV that uses 2.5 litres of fuel for every 20 km driven. He drives to work 20 km each way, 5 days a week. How much fuel does he use to get to work every week?

Answers

Answer: 12.5 litres

Step-by-step explanation:

The SUV takes 2.5 litres for every 20 km driven.

The trip to work is 20 km which means that going to work costs Marie's father 2.5 litres every day in fuel.

In a week, there are 5 working days.

The amount of fuel used per week is therefore:

= 2.5 * 5

= 12.5 litres

please dont put any links or I'll report:(​

Answers

Answer:

1000

Step-by-step explanation:

volume of prism formula=b*w*h(base times width times height)

10*10*10(10^3)=1000

Answer: 1,000 m

Step-by-step explanation:

To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m

HOPE THIS HELPS ^^

12 + 6 − 4 ÷ (2 + 5)

Answers

Answer:

2

Step-by-step explanation:

14 / (7)

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