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Joe is holding his kite string 3 feet above the ground, as shown in the
accompanying diagram. The distance between his hand and a point directly under
the kite is 95 feet. If the angle of elevation to the kite is 50°, find the height, h,
of his kite, to the nearest foot.


Joe Is Holding His Kite String 3 Feet Above The Ground As Shown In The Accompanying Diagram The Distance Between His Hand And A Point Directly Under The Kite Is class=

Sagot :

The answer is D (116.2 ft)

Explanation:

Let the distance the kite and a point directly under the kite be ‘d’.

tan = opposite/adjacent

tan(50) = d/95
tan(50) x 95 = d
d ≈ 113.2 ft

h = d + 3 = 113.2 + 3 = 116.2 ft