Question

A cat is stuck in a tree. A firefighters 15-foot ladder is the leaning against a tree. The ladder and the ground form a 62° angle. How high above the ground does the ladder touch the tree? Round to the nearest hundredth. (Show Work!)

Answer 1

To solve this problem you must apply the proccedure shown below:

 1. You have:

 Sinα=opposite/hypotenuse

 α=62°
 opposite=x
 hypotenuse=15 ft

 2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

 Sinα=opposite/hypotenuse
 Sin(62°)=x/15

 3. You must clear "x", as below:

 x=(15)(Sin(62°))
 x=13.24 ft

 The answer is. 13.24 ft