Question

Sylvia leans a 4-foot broom against the wall. The angle between the bottom of the broom and the floor is 72°. How far up the wall does the broom reach from the floor rounded to the nearest tenth? 12.9 feet 3.8 feet 1.2 feet 0.2 foot

Answer 1

To solve this problem you must apply the proccedure shown below:
1.You have that the measure of the leans a 4-foot and the angle between the bottom of the broom and the floor is 72°.
2. Then, you have:

Sin(72°)=x/4

When you solve for x, you obtain the following result:

4Sin(72°)=x
x=3.8 feet

The answer is: 3.8 feet