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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.

Verified Answer :

avrielboeken6pa4o69

As the building is 88 meters along the around and the shadow makes with a straight line of 32 degrees it would equal 55 meters high.

The approximate height of the building is 55 ft.

Given that,

  • The business area casts a shadow that measures 88 meters along the ground.
  • And, there is 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.

Based on the above information, the calculation is as follows:

\(tan (32) = \frac{height}{88} \\\\88 \times tan (32) = height\)

height = 55 ft.

Therefore we can conclude that the approximate height of the building is 55 ft.

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