Question

What is the height of the building??? The length is 136 and the degrees is 64

Answer 1

Given:

The length of the building's shadow is 136 feet

Angle of elevation is 64 degrees

We have to find the height of the building.

Now, the building's shadow is given that means it is the base length from the

angle of elevation to the building.

That is,

Now, we apply trigonometric ratio:

$\text{tan 64}^{\circ}=\frac{perpendicular}{\text{base}}$$\tan \text{ 64=}\frac{perpendicular}{136}$

Now,

$\begin{gathered} \text{perpendicular}=136\times\tan \text{ 64} \\ =136\times2.05 \\ =278.8\text{ ft} \end{gathered}$

Hence, the height of the building is 279 ft.