Question

Talula is standing 117 feet from tae base of the Washington

Monument in Washington, D.C. She uses her clinometer to

measure the angle of elevation to the top of the monumeni to

be 78°. If Talula's eye height is 5 feet, 3 inches, what is the

height of the Washington Monument?

Answer 1

Height of the Washington Monument is 555.69 feets

Step-by-step explanation:

Refer the figure below.

Height of the Washington Monument = h + 5 feet, 3 inches

We also have

            $tan78=\frac{h}{117}\\\\h=4.704\times 117\\\\h=550.44ft$

Height of the Washington Monument = 550.44 + 5 feet, 3 inches

Height of the Washington Monument = 555.44 + 0.25

Height of the Washington Monument = 555.69 feets

Height of the Washington Monument is 555.69 feets