Question

om the ground to the top of the monument to be 78∘. Find the height h of the Washington Monument to the nearest foot. Item 9 A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the angle of elevation from the ground to the top of the monument to be 78∘. Find the height h of the Washington Monument to the nearest foot.

Answer 1

Answer:

555 ft

Step-by-step explanation:

aee the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(78^o)=\frac{AB}{BC}$ ----> by TOA (oppsoite side divided by the adjacent side)

substitute the given values

$tan(78^o)=\frac{h}{118}$

solve for h

$h=tan(78^o)(118)=555\ ft$