Question

If the sun is 70° above the horizon. find the length of the shadow cast by a building 63ft tall. Round to the nearest tenth

Answer 1

Answer:

x = 22.93 feet

Step-by-step explanation:

Given that,

The sun is 70° above the horizon.

We need to find the length of the shadow cast by a building 63ft tall.

Let the length of the shadow be x. We can find it using trigonometry as follows :

$\tan\theta=\dfrac{P}{B}\\\\\tan(70)=\dfrac{63}{x}\\\\x=\dfrac{63}{\tan(70)}\\\\x=22.93\ ft$

So, the length of the casted shadow is equal to 22.93 feet.