Question

To find the height of a tall tree, a surveyor moves 140 feet away from the base of the tree and then, with a transit 4 feet tall, measures the angle of elevation to the top of the tree to be 53°. What is the height of the tree? Round your answer to the nearest foot.
A.

190 ft

B.

186 ft

C.

105 ft

D.

109 ft

Answer 1

@Marco,Phillip

Answer 2

A. 190 ft. Form a right angled triangle from the following points: the transit, a point 4 feet up the tree and the top of the tree. So since tan = opp/adj, in this case tan(53) = (h-4)/140, where h is the height of the tree and (h-4) is the distance between the top of the tree and the point 4 feet up the tree that we chose to form a right angled triangle. Thus h-4 = 140 * tan(53) = 186 and so h = 190 feet.

Answer 3

thx XD!!! I have one more question, will you help me with it?

Answer 4

i will try

Answer 5

it's true and false

Answer 6

okay

Answer 7

The length of side x could most easily be found by using the tangent of angle a.

Answer 8

I have to draw

Answer 9

lol okay

Answer 10

from what i see on other i would say it is true

Answer 11

thank you

Answer 12

no problem