Question

a Boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 30 degree . a girl on the roof of 200 m high building finds the angle of elevation of the same bird to be 45 degree. both the girl and the boy are on the opposite sides of the bird . find the distance of the bird from the girl

Answer 1

Answer on Question #49756 – Math – Trigonometry

A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 30 degree. a girl on the roof of 20 m high building finds the angle of elevation of the same bird to be 45 degree. both the girl and the boy are on the opposite sides of the bird. find the distance of the bird from the girl

Solution.

$$CD = AC \sin 30{}^\circ = 100 * \frac{1}{2} = 50 \, \text{m}, \, ED = 20$$ $$CE = CD - ED = CD - 20 = 50 - 20 = 30 \, \text{m}.$$ $$BC = \frac{CE}{\sin 45{}^\circ} = 30\sqrt{2} \approx 42.4 \, \text{m}.$$

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