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24 June, 21:48

A highway patrol plane flies 1 mile above a flat, straight road at a steady ground speed of 120 miles per hour. The pilot sees an oncoming car and, with radar, determines that the line-of-sight distance from the plane to the car is 1.5 miles, decreasing at the rate of 136 miles per hour. Find the car's speed along the highway.

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  1. 24 June, 22:03
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    Answer: 62 mph

    Step-by-step explanation:

    Given that patrol plane is 1 mile above a flat, straight road

    Let h = 1 mile

    The horizontal distance x will be achieved by using pythagorean theorem

    1.5^2 = h^2 + x^2

    x^2 = 2.25 - 1

    x = 1.12 miles

    Since it is decreasing at the rate of 136 miles per hour, the car will be moving close at

    1.12 * speed = 1.5 * 136

    Speed = 204/1.12 = 182 mph

    Since the plane moves at 120 mph

    The the car's speed along the highway will be

    Speed = 120 - 182 = 62 mph
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