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A building casts a shadow 49 feet long. at the same time, a 42-foot-tall flagpole casts a shadow of 9.8 feet long. what is the height of the building?

2 Answers

3 votes

Final answer:

To find the height of the building, set up a proportion using the lengths of the shadows. Cross multiplying, we find that the height of the building is 210 feet.

Step-by-step explanation:

To find the height of the building, we can set up a proportion using the lengths of the shadows.

Let h be the height of the building.

The proportion would be:

42 feet (height of flagpole) : 9.8 feet (length of flagpole's shadow) = h feet (height of building) : 49 feet (length of building's shadow)

Cross multiplying, we get: 42 * 49 = 9.8h.

Solving for h, we find that the height of the building is 210 feet.

User Shipr
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7.4k points
1 vote
 200ft would be your answer
User Friday
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8.1k points