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6 March, 04:54

Suppose you live 4.4 miles from the bottom of a hill. From your home, you see a plane directly above the hill. You estimate that the plane is about 2.5 miles in the sky from the bottom of the hill. You draw a diagram of the situation. Estimate the direct distance from you to the plane.

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  1. 6 March, 04:59
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    If you draw a diagram of the situation. You will see that the diagram will form a right triangle. Let us set the sides of the triangle as:

    a = distance from you to the bottom of the hill = 4.4 miles

    b = distance from the bottom of the hill to the plane = 2.5 miles

    c = the direct distance of the plane from you = unknown

    Since we have two given sides and we know that it is a right triangle, we use the Pythagorean theorem.

    c^2 = a^2 + b^2

    c^2 = 4.4^2 + 2.5^2

    c = 5.06 miles

    From the calculations, we see that the direct distance of the plane to you is 5.06 miles.
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