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11111nata11111 [884]
3 years ago
12

A slide reaches a vertical height of 16 feet and makes an angle of 25° with the ground. How long is the slide

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Answer:

17.7 feet

Step-by-step explanation:

law of sines:

x = length of slide

base of slide forms a 90 degree angle with the ground

to find the number of degrees in the third angle, subtract 115 from 180

sin 65°/16 = sin 90°/x

16 = sin 65°(x)

x = 16/(sin 65°) ≈ 17.7 feet

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