Respuesta :
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 :
[tex]Perpendicular = 72 inch\\Base = ?\\x =30[/tex]
We know that
⇒ [tex]Tanx = \frac{Perpendicular}{Base }[/tex]
⇒ [tex]Tan30 = \frac{72}{Base }[/tex]
⇒ [tex]\frac{1}{\sqrt{3} } = \frac{72}{Base }[/tex]
⇒ [tex]Base = 72\sqrt{3} inch[/tex]
⇒ [tex]Base = 124.7 inch[/tex]
Rounding off we get :
⇒ [tex]Base = 125 inch[/tex]
Therefore , the shadow cast by a 72-inch tall fence post is of 125 inch!
