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

Answer:

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

therefore the answer is 24

The height of the tree is approximately 26 feet.

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

Two Red cubes, two green cylinders, and three yellow rectangular prisms were put into a bag. What is the probability. that you will out a green Block?
PLEASEEE HELPPP!!!!!!!! ASAP!! PLEASEEE HELPP

PLS HELP ASAP


Simplify negative 3 over 4 divided by 2 over negative 8.


−6

−3

3

6

Can someone please help? Today is the last day to turn in summative and this is part of it-

Abundance is a car salesman. He earns $250 for every car he sells plus 3% commission. If Abundance sells 2 cars in one week for a total of 54,624.00, what are his total earnings for the week?

PLEASE HELP QUICK!!!!!

Alex buys lunch at school every day. She always gets pizza when it is available. The cafeteria has pizza about 80% of the time.

Alex runs a simulation to model this using a random number generator. She assigns these digits to the possible outcomes:

• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available.

The table shows the results of the simulation. ​

Javier​'s team scores an average of 15.5 points in 4 basketball games. Rhea​'s team scores an average of 29.5 points in the same 4 games. Use estimation to find how many times as many points Rhea​'s team scores compared to Javier​'s team. I need help plz

The half-life of a radioactive kind of yttrium is 50 minutes. How much will be left after 150 minutes, if you start with 416 grams of it?

Carl recently started mowing lawns as a summer job. For every lawn Carl mows, he is paid $15. If Carl had $32 before beginning this job, which expression correctly represents how much money Carl will have by the end of the summer? 15x 15x - 32 32 + 15x 32x + 15

can someone help me with this

I- GUESS WHO NEEDS HELP AGAIN...
I don't wanna fail math aaaa

How many more pumpkins have a mass between 9 and 12kg than between 0 and 3kg.

Which of the following linear functions contain the branches for the function f(x)=a|x-h|+k? Select all that apply (see picture).

10 POINTS only answer if you KNOW
Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages?

A.
Yes. They will read the same amount of pages in 3 days.

B.
Yes. They will read the same amount of pages in 5 days.

C.
Yes. They will read the same amount of pages in 6 days.

D.
No. They will never read the same amount of pages.

It costs $4 to enter the fair. Each ride costs $2.50. You have $21.50. How many rides can you go on? Write an equation, then solve.

Hellppp plzz: What is the unit rate of the Rosk Construction?

I need help please...

Jim bought the game system on sale for $195. Kaylen bought the same system at full price for $250. How much was the sale for when Jim bought the game system?

Mr. horses purchased 1.75 pounds of meat that caused to push to $2.60 per pound. how much change did Mr. Garza received if he gives the cashier $20.00

PLEASE HELP ME ILL GIVE BRAINLIEST AND 5 STAR AND A THANK U PLZZZ

What is the best estimate for 6,193 ÷ 48 using compatible numbers?

Be sure to write the compatible numbers for the dividend and divisor, and an estimated quotient.

(I'm suppose to show my work, so also include how im going to write it pls)

Ted’s team score average of 23.5 points in 4 basketball games. Lauren​'s team scores an average of 75.5 points in the same 4 games. Use estimation to find how many times as many points Lauren​'s team scores compared to Ted​'s team.(Use compatible numbers) I need help plz

A college campus has a lawn shaped like a circle with a radius, r, of 60 meters. Which is the best approximation of the area, A, of the circular lawn? (Use A=πr2; π is approximately 3.14.)

I need help with this..... please help thank you

And add me has a friend

Its a Screenshot

****BONUS POINTS: What is the probability of rolling an odd number?

A. 1/4
B. 1/3
C. 1/2
D. 1/6

PLEASE ANSWER: Hunter is 9 years older than 3 times the age of his nephew. Hunter is 33 years old. How old is his nephew?

A. 2 years old
B. 8 years old
C. 14 years old
D. 20 years old

which one shows a proportional relationship

MiKiyah invested $2,500 in a simple interest account for 2 years. At the end of the 2 years, she has earned $75 in interested. What was the simple interest rate of the account?

Tickets for rides at a carnival cost $0.80 each, but you can buy a book of 10 tickets for $6.50,. What is the cost of each ticket in the book of tickets?

26.50 plus what equals 40

what is 4/5 plus 2/3

Don’t just answer for points please