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

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

timaashorty · Answer

$$ 4 + 140 \times \tan(53) = 186.7862$$

anonymous · Answer

tan 53 = (h-4)/ 140

Solve for h