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A pole is tilted by 10° from the vertical in the direction of the sun. If the sun’s elevation is 38° and the pole’s shadow on the ground measures 2.05 m, what is the length of the pole?

1. 2.05 sin 38° / sin 42°
2. 2.05 sin 42° / sin 38°
3. 2.05 cos 38° / cos 42°
4. None of these

Correct answer: 2.05 sin 38° / sin 42°

Solution

The correct option uses the relationship between the lengths of the shadow and the pole, factoring in the angles of elevation and tilt. By applying the sine rule, we can relate the height of the pole to the length of the shadow and the angles involved, leading to the formula provided in option A.

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