Answered: A 20 story building casts a 350 m…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Reflection And Refraction Of Light

Section: Chapter Questions

Problem 43P: A 4.00-m-long pole stands vertically in a freshwater lake having a depth of 2.00 m. The Sun is 40.0°...

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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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