Question

1. A 30 ft. ladder is leaning against a building. The ladder reaches the bottom of a window that is located 15 ft. above the ground. What angle does the ladder make with the ground?

Answer 1

Answer: 30°

Explanation:

1. You know that:

- The length of the ladder is 30 feet.

- The window is located 15 feet above the ground.

2. Then, you can draw a right triangle as the one shown in the figure attached. So, you can calculate the angle asked as following:

`sin^(-1)\alpha=(opposite)/(hypotenuse)`

Where:

α: the angle of the ladder with the ground.

opposite=15 feet

hypotenuse=30 feet

3. When you substitute values, you obtain:

`sin^(-1)\alpha=(15)/(30)`

`\alpha=30`°