Question

A ten-foot ladder is leaning against a wall. If the ladder makes a 60-degree angle with the ground, what is the distance between the top of the ladder and the wall?

a) 5 feet
b) 8 feet
c) 10 feet
d) 12 feet

Answer 1

The distance between the top of the ladder and the wall is approximately 8 feet.

Step-by-step explanation:

To find the distance between the top of the ladder and the wall, we can use trigonometry. Let's assume that the distance between the top of the ladder and the wall is x feet.

Using the given information, we have a 10-foot ladder making a 60-degree angle with the ground. This forms a right triangle with the ladder as the hypotenuse.

Using the sine function, we can write:

sin(60) = x/10

By solving for x, we get:

x = 10 * sin(60)

Using a calculator, we find that x is approximately 8.66 feet.

Therefore, the distance between the top of the ladder and the wall is approximately 8 feet.