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hram777 [196]
3 years ago
9

The height of the Empire State building is 1250 feet tall. Your friend ,who is 6 feet 3 inches tall, is standing nearby and cast

s a shadow that is 33 inches long. What is the length of the shadow of the Empire State building
Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
75 inches / 33 inches : 1,250 / shadow

75 * shadow = 33 * 1,250

shadow = 41,250 / 75

shadow = 550 feet


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A. The approximate height of the building is 100 m

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A.

The approximate height of the building is 100 m

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From the diagram, we have that using trigonometry,

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We can use the arc length formula to obtain an approximation of BC since angle A is small.

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We know that the arc length formula L = rФ where

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<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

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So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

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