Question

you look up a 55° degree angles to see the top of a building. The vertical distance from the ground to your eye is 5.5 ft and the distance from you to the building is 57 feet estimate the height of the building

Answer 1

ANSWER:

86.9 feet

STEP-BY-STEP EXPLANATION:

This drawing represents the situation of the statement

We can calculate the value of h by means of the tangent trigonometric ratio, just like this

$\begin{gathered} \tan 55=\frac{h}{57} \\ h=\tan 55\cdot57 \\ h=81.4 \end{gathered}$

now to calculate the total height of the building we use the value of h plus the height, it would be like this

$81.4+5.5=86.9$

That is, the height of the building is 86.9 feet.