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14 May, 02:52

Suppose a camping tent has a center pole that is 6 feet high. If the sides of the tent make 40 degree angles with the ground, how wide, in feet, is the tent

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  1. 14 May, 04:16
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    We assume that the tent is in a triangular shape. We divide the triangle into two right triangles where the angles are 90°, 40° and 50°. We are given one side of the triangle which is 6 ft, the height of the center pole. We can use the tangent trigonometric function to solve for the base of one right triangle.

    tan α = opposite side / adjacent side = pole height / base of one right triangle

    tan 40° = 6 ft / base of one right triangle

    Base of one right triangle = 7.15 ft

    Multipliying it by 2, we get the total width of the tent. Which is,

    Width of the tent = 14.30 ft
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