# a building in a downtown business area casts a shadow that measures 88 meters along the ground. the straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. what is the approximate height of the building? round your answer to the nearest meter.

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get a building in a downtown business area casts a shadow that measures 88 meters along the ground. the straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. what is the approximate height of the building? round your answer to the nearest meter. from EN Bilgi.

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A building in a downtown business area casts a shadow that is 88 meters long. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building?

Guest Sep 14, 2016

### 1 Answers

#1 +123413

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We can use the tangentto solve this.......let h be the building height......and we have

tan (32) = h / 88 multiply both sides by 88

88 * tan (32) = h ≈ 55 ft.

CPhill Sep 14, 2016

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## A building casts a shadow that is 88 meters long. The straight

54.99 meters This is a side view image of the building. Every object in the presence of light or emitting light is constantly diverging rays, including the sun. In this example, one of the light rays (dashed yellow line) is perfectly aligned with the building's corners, so it just merely passes over the building, which creates the shadow that's 88 meters long. This becomes a trigonometry problem because a right angle is formed... We know that tan(angle a) is equal to the opposite side's length divided by the adjacent side's length. Therefore, we can use tan(32°)=y/(88). Now, solve for y to get the height of the building by y = tan(32°) * 88, which is approximately 54.99 meters (Don't forget about units). Hope this helps!

## A building casts a shadow that is 88 meters long. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building?

Trigonometry Right Triangles The Pythagorean Theorem

### 1 Answer

Harry · Stefan V. Mar 19, 2018 54.99 meters

### Explanation:

This is a side view image of the building. Every object in the presence of light or emitting light is constantly diverging rays, including the sun. In this example, one of the light rays (dashed yellow line) is perfectly aligned with the building's corners, so it just merely passes over the building, which creates the shadow that's 88 meters long.

This becomes a trigonometry problem because a right angle is formed... We know that

tan ( ∠ a )

is equal to the opposite side's length divided by the adjacent side's length. Therefore, we can use

tan ( 32 ° ) = y 88 .

Now, solve for y to get the height of the building by

y = tan ( 32 ° ) ⋅ 88

, which is approximately 54.99 meters (Don't forget about units).

Hope this helps! Answer link

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## A building in a downtown business area casts a sha

Answer: 55. Based on the given conditions, formulate:: 88 * tan32 ° Calculate the approximate value: 88 * 0.624

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## A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32 ° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter.. The building is I meters high.

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### Gauthmathier3142

Grade 10 · 2022-01-07

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A building in a downtown business area casts a shadow that measures along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a angle with the ground. What is the approximate height of the building? Round your answer to the nearest .. The building is high.

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### Gauthmathier3433

Grade 10 · 2022-01-07

Answer & Explanation

YES! We solved the question!

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