After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?

The pole, the road, and the sunlight form a triangle. Its angles are 75° at the pole’s base, 45° where the sunlight meets the road, and 60° at the top of the pole, since triangle angles total 180°. By the sine rule, the pole’s length is 15 × sin(45°) ÷ sin(60°) ≈ 12.2 feet. So the pole is about 12.2 ft long.

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