Question

A ladder leans against the side of a house. The angle of elevation of the ladder is 71 degrees, and the top of the ladder is 13ft above the ground.Find the distance from the bottom of the ladder to the side of the house. Round your answer to nearest tenth

Answer 1

Answer:

4.47 feet

Step-by-step explanation:

Given that,

The angle of elevation of the ladder is 71 degrees.

The top of the ladder is 13ft above the ground.

We need to find the distance from the bottom of the ladder to the side of the house. Let the distance is x. We can find it using trigonometry as follows :

$\tan\theta=\dfrac{P}{B}\\\\\tan(71)=\dfrac{13}{x}\\\\x=\dfrac{13}{\tan(71)}\\\\x=4.47\ ft$

So, the distance from the bottom of the ladder to the side of the house is 4.47 feet.