Question

A ladder leans against a building, making a 46 angle of elevation with the ground.The top of the ladder reaches a point on the building that is 21 feet above theground. To the nearest tenth of a foot, what is the distance, x between the base ofthe building and the base of the ladder? If the answer does not have a tenths placethen include a zero so that it does.

Answer 1

Given

A ladder leans against a building, making a 46 degree, angle of elevation with the ground.

The top of the ladder reaches a point on the building that is 21 feet above the ground.

To find: The distance, x between the base of the building and the base of the ladder.

Step-by-step explanation:

It is given that,

The height of the building is 21 feet.

The angle of elevation is 46 degrees.

Therefore,

`\begin{gathered} \tan46=(21)/(x) \\ x=(21)/(\tan46) \\ x=(21)/(1.0355) \\ x=20.27946 \\ x=20.3ft \end{gathered}`

Hence, the value of x is 20.3ft.