Question

the proper angle for a ladder is about 75 degrees. from the ground. suppose you have a 9 foot ladder. how far from the house should you place the base of the ladder ? round answer to at least 2 decimal places

Answer 1

2.33 foot

Explanation:

We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

`\begin{gathered} \cos \theta=\frac{\text{ adjacent}}{\text{ hypotenuse}} \\ \theta=75\text{\degree} \\ \text{ hypotenuse = 9 foot} \\ \text{adjacent = x} \end{gathered}`

Replacing and solving for x:

`\begin{gathered} \cos 75=(x)/(9) \\ x=9\cdot\cos 75 \\ x=2.33 \end{gathered}`

The distance would be 2.33 foot