Straight road makes an angle of 11° with the horizontal. From a certain point P

Question

Straight road makes an angle of 11° with the horizontal. From a certain point P on the road the angle of elevation of an airplane at point P is 52°. At the same instance from another. Q 100 m farther up the road the angle of elevation of 63° the points PQ and a line same vertical plane. Approximate the distance from P to the airplane. Straight road makes an angle of 11° with the horizontal. From a certain point P on the road the angle of elevation of an airplane at point P is 52°. At the same instance from another. Q 100 m farther up the road the angle of elevation of 63° the points PQ and a line same vertical plane. Approximate the distance from P to the airplane. Straight road makes an angle of 11° with the horizontal. From a certain point P on the road the angle of elevation of an airplane at point P is 52°. At the same instance from another. Q 100 m farther up the road the angle of elevation of 63° the points PQ and a line same vertical plane. Approximate the distance from P to the airplane.

Explanation / Answer

a triangle will be formed with the point PQ nd airplane

angle P = 52 degrees

angle Q = 180 - ( 63) = 117 degrees

and angle plane = 11 degrees

applying law of sines

100 / sin 11 = d / sin 117

d = 466.96

distance from P to airplane = 466.96 m

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