PreCalculus
posted by Joy .
From a point on the ground 25 ft. from the foot of the tree, the angle of elevation of the top of the tree is 32 degrees. How do you find the height of the tree to the nearest foot?

PreCalculus 
drwls
The tree height is 25 tan32 = 15.6 feet
To the nearest foot, that would be 16.
I assume you are familiar with the tangent of an angle. 
PreCalculus 
Ashley
It'll help you sove this if you draw a picture.(Not the greatest below but you get the idea)
.
. 
. 
. x
. 
._____________
25ft
The 32 degrees should go in the bottom left corner of the triangle. To solve for x, you would use tangent. The problem would be set up as tan(32)=x/25
Then, mulitply both sides by 25 to get x by itself so you have:
25tan(32)=x
When you plug this into a calculator, you get 16.525, so the tree is about 17ft tall
Respond to this Question
Similar Questions

trig
Because of prevailing winds, a tree grew so that it was leaning 4 degrees from the vertical. At a point, 35 meters from the tree, the angle of elevation to the top of the tree is 23 degrees. Find the height h of the tree 
geometry
a tree grew at a 3 degree slant from the vertical. at a point 60 feet from the tree, the angle of elevation to the top of the tree is 14 degrees. find the height of the tree to the nearest tenth of a foot. 
trig Elev. & Depress part ii
You are 55ft from a tree. The angle of elevation from your eyes, which are 4.5 ft off the ground,to the top of the tree is 61 degrees. To the nearest foot, how tall is the tree? 
CST GEOMETRY
a tree is situated on level ground from a point 135 feet from the base of the tree the measure of the angle of elevation from the ground to the top of the tree is 43 degrees which is the height of the tree to the nearest foot? 
geometry
can someone please show me the answer for this problem ? 
Alg/Trig
The angle of elevation from a point on the ground to the top of a tree is 39.8 degrees. The angle of elevation from a point 51.7 ft farther back to the top of the tree is 19.7 degrees. Help find the height of the tree. 
trigonometry ans.
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot. I got 50xtan53 = 66.35 nearest foot ? 
geometry
At a point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48 degrees. Find the height of the tree. 
trig
The angle of elevation from a point on the ground to the top of a tree is 38.7 degrees. The angle of elevation from a point 27 ft farther back to the top of the tree is 22.9 degrees. Find the height of the tree to 2 decimal places. 
Math , trigonometry
From a point on the ground 20m from the base of a tree the angle of the elevation to the top of the tree is 47 degrees. Calculate the height the of the tree correct to the nearest metre ?