Meryl is standing 100.5 feet from the Eiffel Tower and sees a bird land on the top of the tower. If the angle of elevation is close to 84.6°, how tall is the tower, to the nearest foot?

Question

from Meryl to the top of the Eiffel Tower

Answer 1

With level ground, a right triangle is formed with 100.5 as the base= 100.5. The height is close to tan(84.6) times 100.5

tangent is opposite side over adjacent side.

Opposite side = height. Adjacent side = base = 100.5

tan84.6 = 10.58

height = 10.58 x 100.5 = 1063.18 feet

Nearest foot = 1063 ft.