Question

The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 22 foot ladder. How far from the house should you place the bade of the ladder ? Round to the hundredths.

Answer 1

Step-by-step explanation

To solve the question, we will make use of the sketch below

We will solve for x

`\begin{gathered} cos75=(adjacent)/(hyppotenuse)=(x)/(22) \\ cos75=(x)/(22) \\ \end{gathered}`

Solving for x

`\begin{gathered} x=22cos75 \\ \\ x=5.69\text{ feet} \end{gathered}`

The ladder should be placed 5.69 feet from the house