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Find the length of a shadow cast by a building that is 610ft tall round to the tenths

Find the length of a shadow cast by a building that is 610ft tall round to the tenths-example-1
User George Osterweil
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1 Answer

14 votes
14 votes

This problem is about triangles.

We must apply the trigonmetric relations to solve this.

I can see we have a right angle triangle.

Let's use the idea of the tangent.

tan (22º) = building height / shadow length

Let's plug given data on above formula:

tan(22º) = 610 ft / shadow length

I looked up and got tan(22º) = 0.40, so:

0.40 = 610 ft / shadow length

shadow length = 610 ft / 0.40

shadow length = 1,525 ft

Answer: shadow length is 1,525 ft .

User Tys
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