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arlik [135]
4 years ago
11

A kite on a 160-foot string is caught on a pole. When the full length of the string is stretched in a straight line to the groun

d, it touches the ground a distance of 50 feet from the bottom of the pole. The string forms an angle of _______° with the ground when it is stretched like this.
17
18
72
78
Mathematics
1 answer:
Genrish500 [490]4 years ago
8 0

Answer:

72°

Step-by-step explanation:

The string, pole, and ground form a right triangle.  The hypotenuse of this triangle is 160 feet.  The base of the triangle is 50 feet.  The angle adjacent to the base can be found with cosine:

cos x = 50 / 160

x = acos(50 / 160)

x ≈ 72°

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