Answered: A 20 story building casts a 350 m…

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?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 57PQ: During a visit to New York City, Lil decides to estimate the height of the Empire State Building...

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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

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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