Question

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-inch tall fence post?

Answer 1

the shadow cast by a 72-inch tall fence post is of 125 inch!

Step-by-step explanation:

Here we have , The sun shines at a 30° angle to the ground. To the nearest inch, We need to find how long is the shadow cast by a 72-inch tall fence post. Let's find out:

According to question we have a right angle triangle with following parameters :

$Perpendicular = 72 inch\\Base = ?\\x =30$

We know that

⇒ $Tanx = \frac{Perpendicular}{Base }$

⇒ $Tan30 = \frac{72}{Base }$

⇒ $\frac{1}{\sqrt{3} } = \frac{72}{Base }$

⇒ $Base = 72\sqrt{3} inch$

⇒ $Base = 124.7 inch$

Rounding off we get :

⇒ $Base = 125 inch$

Therefore , the shadow cast by a 72-inch tall fence post is of 125 inch!