High School

A ladder 35.8 feet long reaches to the top of a building when its foot stands 10.3 feet from the building. How high is the building?

Answer :

To find the height of the building, we can use the Pythagorean theorem. The ladder is the hypotenuse of a right triangle, with the distance from the building as one leg and the height of the building as the other leg. The building is approximately 34.24 feet tall.

To find the height of the building, we can use the Pythagorean theorem. The ladder is the hypotenuse of a right triangle, with the distance from the building as one leg and the height of the building as the other leg. So, using the Pythagorean theorem, we have:

h2 = 35.82 - 10.32

Simplifying this equation, we get:

h ≈ √(1279.64 - 106.09)

≈ √1173.55

≈ 34.24 feet

Therefore, the building is approximately 34.24 feet tall.

Learn more about Pythagorean theorem here:

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