Question

▪stly sunnyThe length of a shadow of a building is 56 ft when the sun is 70° above the horizon. Find the height of the building. Round your answer to the nearest tenth.

Answer 1

Given:

It is given that the length of a shadow of a building is 56 ft when the sun is 70° above the horizon.

Find:

we have to find the height of the building.

Explanation:

we know in trigonometry that

$tan\theta=\frac{Perpendicular}{Base}$

here angle is 70 degree, base is 56 ft.

Let h be the perpendicular, i.e. height of the building

Therefore, we get

$\begin{gathered} tan70^o=\frac{h}{56} \\ h=56\times tan70^o \\ h=153.8\text{ }ft \end{gathered}$

Therefore, the height of the building is 153.8 ft (by rounded to nearest tenth)