trigonometry

from a point A on the side of straight road, the angle of elevation of the top of the electric pole is 15°20'. from a point B on the same side of the road, the angle of elevation of the top of the pole is 10°52'. If the distance of A and B is 50 meters, what is the height of the pole?

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  1. review the tangent function. Draw a diagram. You can see that if the pole has height h, then

    h cot15°20' + h cot10°52' = 50
    That is if A and B are on opposite sides of the pole.

    If they are on the same side, then B is farther away than A, and

    h cot10°52' - h cot15°20' = 50

    So, make up your mind.

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