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ivolga24 [154]
3 years ago
12

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 gro

und. What angle does the ladder make with the ground?

Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer: 30°


Step-by-step 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=\frac{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=\frac{15}{30}

\alpha=30°



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