Question

Elijah is looking up to the top of the Washington Monument. If the monument is 555 feet tall and the
angle of elevation from the point on the ground where Elijah is standing to the top is 74', how far is
he standing from the base of the monument?

Answer 1

Answer:

Elijah is  standing from the base of the monument 159.14 feet

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

$tan(74^o)=\frac{BC}{AC}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(74^o)=\frac{555}{AC}$

solve for AC

$AC=\frac{555}{tan(74^o)}=159.14\ ft$

therefore

Elijah is  standing from the base of the monument 159.14 feet