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Chapter 8: Q. 61 (page 517)

The angle of elevation of the Sun is 35.1掳 at the instant the shadow cast by the Washington Monument is 789 feet long. Use this information to calculate the height of the monument.

Short Answer

Expert verified

Hence, the height of monument is 554.5092 feet.

Step by step solution

01

Given Information

Given that the angle of elevation of the Sun is 35.1掳 at the instant the shadow cast by the Washington Monument is 789 feet long.

02

Solution

We have to find the height of the monument,

We can draw a figure of the given problem: -

We have to find the height of the monument AB=xfeet.

tan(C)=ABBCtan(C)脳BC=ABx=tan(35.1掳)脳789x=0.7028脳789x=554.5092feet

03

Final Answer

Hence, the height of monument is 554.5092 feet.

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