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 meters high.

Respuesta :

Answer:

55 meters

Step-by-step explanation:

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The height of the building with a shadow of 88 feet is 55 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the building, hence using trigonometric ratios:

tan(32) = h / 88

h = 88 * tan (32) = 55 feet

The height of the building with a shadow of 88 feet is 55 feet.

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