Mathematics Middle School

A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50° angle
of elevation. His eyes are 5 feet above the ground. Using cos 50° 0.64, what is the height of the tree
to the nearest foot?

36 feet
29 feet
24 feet
31 feet

A Student Is Standing 20 Feet Away From The Base Of A Tree. He Looks To The Top Of The Tree At A 50 Angleof

Answers

Answer 1

Answer:

[tex] \tan(50) =opp(x) \div adh(20) \\ \tan50 \times 20 = opp(h) \\ = 23.8 [/tex]

therefore the answer is 24

Answer 2

The height of the tree is approximately 26 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Let's denote the height of the tree with 'h'.

Then we can use the trigonometric ratio for cosine as follows:

cos(50°) = adjacent/hypotenuse

cos(50°) = 20/h + 5 (the adjacent side is the distance from the student's eyes to the tree, which is 20 feet, and the hypotenuse is the height of the tree plus the height of the student's eyes, which is h + 5 feet)

Now we can solve for 'h':

0.64 = 20/(h + 5)

0.64(h + 5) = 20

0.64h + 3.2 = 20

0.64h = 16.8

h = 26.25

So the height of the tree is approximately 26 feet (rounded to the nearest foot), which means the closest answer choice is 29 feet.

Therefore,

The height of the tree is approximately 26 feet.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ7

Related Questions

HELP ME ASAP!!!!!!!!

Answers

Answer:

9. 2 1/12     10. 3/14

11. D             12. 7/8

13. 5/8 hours  13. 1/12

15. No he is not correct because 1/2 equals 2/4, 1/4 plus 2/4 equals 3/4

16. No he is not correct because 5/6 is 10/12 and its way greater than 6/12

i know you already have the answer but i hope you’re having a great day!! :)

The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?

twenty four fortieths
eleven fifths
eleven fourteenths
twenty four fifths

Answers

The answer is a
Step by step
Multiplication
8×5 = 40
8×3 = 21
21/40

Find the perimeter FOR BRAINLIEST

Answers

Answer:

56

Step-by-step explanation:

The perimeter is 56 because you added all of the numbers on there which got you to it, it’s really easy

A basketball has a mass of 1 kg and is traveling 12 m/s.

What would happen to the velocity if the momentum of the basketball were cut in half?

Answers

Answer:

[tex]6\:\mathrm{m/s}[/tex] (The velocity would also be halved)

Step-by-step explanation:

The momentum of an object is given as [tex]p=mv[/tex] where [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object.

Because mass is constant, if the momentum ([tex]p[/tex]) was cut in half, the velocity of the basketball would also be halved:

Let [tex]p_1[/tex] be the initial momentum and [tex]p_2[/tex] be the final momentum:

[tex]\frac{1}{2}p_1=p_2,\\\frac{1}{2}mv_1=mv_2, \\\fbox{$\frac{1}{2}v_1=v_2$}[/tex]

Therefore, the basketball's new velocity is [tex]\frac{1}{2}\cdot 12=\fbox{$6\:\mathrm{m/s}$}[/tex].

a basketball has a mass of 1kg and is traveling 12 m/s
6 m/s

help i guess? Ik its easy i just got lazy

Answers

I hope this helps have a good day
11 16 and 17 are the answers for them

1. What unit would you use to measure the distance from the front door of your apartment or house to your room?
a. centimeters
b. meters
c. millimeters
d. kilometers

____________________________________________________________________
2. If you want to find the mass of a very light object, what unit would you use?

b. milligrams
a. grams
c. kilograms

Answers

Answer:

1. meters 2. milligrams

Step-by-step explanation:

Answer:

i think meters and the second one u would use milligrams

Step-by-step explanation:

Melvin is struggling with problems that ask him to find the area of shaded regions, such as the one shown below.

Answers

Answer:

B

Step-by-step explanation:

B
















is the correct answer

If it's not too much of a bother can someone answer this? Thank you =v=

Answers

Answer:

(2, 6)

Step-by-step explanation:

(2, 6)

the answer should be 1, (2, 6). i hope this helps!

Use the table below and write an equation to show the relationship between x and y


X (INPUT) 2 5 8 10 11
Y (OUTPUT) 6 15 24 30 33
Group of answer choices

A.y=x+3

B.y=x -10

C.y = 3x

D.y = x/3

Answers

Answer:

d

Step-by-step explanation:

your answer should be d !

helppppppppppppppppppppp

Answers

Answer: d the last one

Step-by-step explanation:

Answer:

1 , 3,4

Step-by-step explanation:

1

We can multiply both by 8

So, 8x and -24

So its correct

2We multiply 8 by both

So, we have 8x-192

So, no

FIrst, we can do 9 and apply it to both x and -3

So, 9x-27-x+3

So, 8x-24

SO, yes

4

5+3*x = 8x

So, 8x-24

So yes

Write an algebraic expression for the following: twice a number *
4 - 5n
2x
5n - 4
2 + 5 x h

Answers

2x ! the number would be x and 2x is 2 times x!

Answer:

2x

Step-by-step explanation:

1. when a number and a variable are right beside eachother it means that you would multiply them. the equation 2x is the same as 2•x but is simplified to 2x

Consider the following quadratic equation. f(x) = 9x^2
Part A: Write a function, g(x), the shifts f(x) down by 3 units.
Part B: Write a function, h(x), that vertically stretches f(x) by 6 units.
Part C: Write a function, m(x), that reflects f(x) about the x-axis.

Answers

Answer:

[tex]g(x) = 9x^{2} -3[/tex][tex]h(x) = 54x^{2}[/tex][tex]m(x) = -9x^{2}[/tex]

Explanation:

[tex]f(x) = a(x-h)^{2} + k[/tex]

a:

Determines direction.Negative x reflects over x-axis.a < 1 --> vertically shrunk.a > 1 --> vertically streched.

h:

Determines left and right.Sign of h flips...(x + h) goes left.(x - h) goes right.

k:

Determines up and down.

What is the range of the following numbers?
12,20,18,25,6

Answers

Answer:

The difference between the highest and the lowest which is

25_6=19

Step-by-step explanation:

Answer:

The range is 19.

Step-by-step explanation:

You subtract the highest number and the lowest. And those two numbers are 25 and 6!

25-6=19

pls answer if you know it

Answers

Answer:

v<-20

Step-by-step explanation:

We can treat this as an equation and subtract 25 from both sides:

v<-20

30 POINTS <3

If you roll a die what is the probability of getting a 2 or 6?

1/3
1/4
1/6
2/3

Answers

Answer:1/6

Step-by-step explanation:

i need help im bad at math

Answers

Answer:

The first box: 1.2 the second box: 20.4

Step-by-step explanation:

Can be simplified to 6 gallons and 5 seconds, then divide those two. After that, 1.2*17

1.2 20.4 hope that helped

Hey! can you guys please solve all correctly? i need them asap btw, thanks! (I will give brainliest and 15 points)

Answers

The answer should be D because whenever x is bigger than 5 then the left side would be bigger than 2.

what is 5/8 as a decimal please give explanation
WILL GIVE CROWN

Answers

Answer:

One eighth is equal to 0.125.  Four eighths is equal to one half, or 0.5.  So five eighths is 0.5 + 0.125, which equals 0.625.

Answer:

0.625

Step-by-step explanation:

1/8 as a decimal is 0.125

to find 5/8 you multiply .125 times 5 which gives you 0.625. Hope this helps!

PLZ HELPPPPPPP THE QUESTION IS IN THE PIC

Answers

Answer:

A

Step-by-step explanation:

Meg laid 15 tiles in 50 minutes.
Jessica worked for 85 minutes at a faster rate per tile than Meg.
Choose all the rates that could be Jessica’s rate.


20 tiles in 85 minutes


24 tiles in 85 minutes


28 tiles in 85 minutes


1 tile in 3 minutes


1 tile in 4 minutes

Answers

1 tile in 4 minutes

please help me on this

Answers

Answer: 9m+18

Step-by-step explanation:

Distribute

Answer: 9m+18

Explanation: 9(m+2) = 9 x M is 9m and 9 x 2 is 18. So the answer is 9m+18

PLZ HELP ME THE QUESTION IS IN THE PIC

Answers

Answer:

Triangular Pyramid

Step-by-step explanation:

Answer:

the first question on the page

What do the area of this figure?

Answers

Answer:

155

Step-by-step explanation:

just did it

46 :) added them together

On a large baking tray, 40 cookies can be baked together. To bake 40 cookies it takes 14 minutes, for baking 80 cookies it takes 28 minutes, for baking 100 cookies it takes 42 minutes. How much time will it take to bake 140 cookies?

A-49 B-56 C-57 D48

Answers

the answer is B (56) because it states that it takes 14 minutes to bake 40 cookies, and you already have 100 cookies so you would just add the time it took to bake 40 cookies which would be 42+14=56

20% of your family likes marshmallows melted on top of the sweet potato casserole. If you have 18 people in your family, which proportion could be used to find the number of people who like marshmallows melted on top of the sweet potato casserole?

Answers

Answer:

18 out of 20% gives you 3.6

Step-by-step explanation:

I don’t know if this right or not but 18 out of 20% gives u 3.6

Can you help me with my math

Answers

1.domain={1,3,6} range={2,5,8} yes it is a function
2.domain={3,2} range={7,13} no it’s is not a function
3.domain={0,2,4} range={-1,1,3,5} no it is not a function
4. 0 ride=$0 1ride=$3 2ride=$6 3ride=$9 4ride=$12 5ride=$15
Yes it is a function
(If you want me to explain I can)

Hope this helps

Have a great day/night

please help me i have 1 more after this

Answers

Answer:

11

Step-by-step explanation:

24 -:- 3+3

8+3

11

Answer:

9

Step-by-step explanation:

Please help!!! Need it now or my mom will kill me. I have a ton of missing assingments.

Answers

The correct answer is m=88

Answer: M=88

Step-by-step explanation:

Assume M/8 is X

x+8=19

X=11+8

So M/8= 11

8*11

= 88

M=88

Btw brain is a tool and if You have missing assignments, You should make up for them and actually learn. If not, It’s useless

Not to be Nosy or anything

which expression is equivalent to 6(x+2y)+3+4y+5

Answers

Answer:

6x+16y+8

Step-by-step explanation:

In order to solve this problem,

6(x+2y)+3+4y+5

We would first need to expand the brackets

6x + 12y + 3 + 4y + 5

Collect like terms together.

6x+12y+4y+3+5

Add the like terms

6x+16y+8

Therefore, the expression which is equivalent to 6(x+2y)+3+4y+5 is 6x+16y+8

Answer:

6x+16y+8

Step-by-step explanation:

m a t h

Charlene’s dress cost $270. Three days later, it went on sale for 35% off. How much could she have saved if she waited three days?

Answers

Answer:

94.5 dollars

Step-by-step explanation:

Answer:

94.50$

Step-by-step explanation:

270 / 20 = 13.50

13.50 x 7 = 94.50

Hope this helps!

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