Question

A 15-foot ladder is leaning against a wall of a building. If the top of the ladder makes a 72° angle with the wall of the building, approximately how high above the ground is the top of the ladder?​

Answer 1

14.2665 feet above the ground

Explanation:

We can use trigonometry to solve this problem. Let's call the height of the ladder on the wall "h". Then we have:

sin(72°) = h/15

Multiplying both sides by 15, we get:

h = 15 sin(72°)

Using a calculator, we find that sin(72°) is approximately 0.9511. So:

h ≈ 15 × 0.9511

h ≈ 14.2665

Therefore, the top of the ladder is approximately 14.2665 feet above the ground.