A bird is on top of a 10 m high electric post. John is observing the bird at an angle of elevation of 42.5°. How far is John from the foot of the electric post?
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Let the distance between John’s positing and the electric post be , then using the right-triangle trigonometric identities, we have . Thus, .
Taking the reciprocal of both sides, we have , and multiplying both sides by 10, we have .
Therefore, John is standing about 10.9 meters from the electric post.