A 20 story building casts a 350 m shadow over level ground. Each story of the building is 3.7 m in height. At what angle is the sun elevated above the ground?

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A 20 story building casts a 350 m shadow over level ground. Each story of the building is 3.7 m in height. At what angle is the sun elevated above the ground?

Expert Solution
Step 1

The height of the 20 story building is, H= 20×3.7 m= 74 m.

The length of the shadow of the building is, S= 350 m.

Let x be the angle of elevation of the sun above the ground.

Now from the figure given in step-2 , we get

              Tan(x)= (AC/AB)= 74/350

               Or,  x= Tan-1(37/175)= 11.93 degree (approx) , So this is the required angle of elevation of sun above the ground.

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