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Chapter 8: Q. 55 (page 517)

At 10 AM on April 26, 2009, a building 300 feet high casts a shadow 50 feet long. What was the angle of elevation of the Sun?

Short Answer

Expert verified

The angle of elevation of the Sun is80.5376°.

Step by step solution

01

Given Information

Given that at 10 AM on April 26, 2009, a building 300 feet high casts a shadow 50 feet long.

02

Solution

Suppose the angle of elevation of the Sun is x°.

We can draw a figure of given problem as:

Now, in △ABCwe have to find angle B=x°.

So,

tan(x°)=ACBCtan(x°)=30050tan(x°)=6x°=tan-1(6)x°=80.5376°

So, the angle of elevation of the Sun is80.5376°.

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