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The world's tallest unsupported flagpole is a 282ft tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137ft long. To the nearest degree, what is the angle of elevation of the sun when casting the flagpole's shortest shadow?

A. 26
B. 29
C. 61
D. 64

User Troyseph
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2 Answers

1 vote
The answer is D . 64
x = arctan(282/137)
x = 64.0887952°
User Khoekman
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6 votes

Answer:

The angle of elevation of the sun when casting the flagpole's shortest shadow is
64^(\circ) .

Option (D) is correct .

Explanation:

As given

The world's tallest unsupported flagpole is a 282ft tall steel pole in Surrey, British Columbia.

The shortest shadow cast by the pole during the year is 137ft long.

Now by using the trignometric identity .


tan\theta = (Perpendicular)/(Base)

As the figure is given below

Perpendicular = AB = 282 ft

Base = BC = 147 ft

Putting all the values in the trignometric identity .


tan\theta = (AB)/(BC)


tan\theta = (282)/(147)


\theta =tan^(-1) (282)/(137)


\theta = 64^(\circ)\ (Approx)

Therefore the angle of elevation of the sun when casting the flagpole's shortest shadow is
64^(\circ) .

Option (D) is correct .

The world's tallest unsupported flagpole is a 282ft tall steel pole in Surrey, British-example-1
User Setjmp
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