Question

A 6 foot long board is propped against the wall of a house. The board forms a 60 degree angle with the ground. How far is the base of the board from the wall

Answer 1

To solve this problem you must apply the proccedure shown below:
 1. You have that  the lenght ot the board is 6 feet and  forms a 60 degree angle with the ground. Therefore, you have:
 Sinα=opposite/hypotenuse
 α=60°
 opposite=x
 hypotenuse=6
 2. When you substitute the values, you obtain:
 Sin(60°)=x/6
 3. Now, you must solve for x, as following:
 x=6Sin(60°)
 x=5.19
 Therefore, the answer is: 5.19 feet.