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Romashka-Z-Leto [24]
2 years ago
10

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

0 feet, what is the height of the building
Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

50^2 + h^2 = 250^2

h^2 = \sqrt{250^2 - 50^2}

h = 244.95

The height of the building is of 244.95 feet.

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