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Natali [406]
3 years ago
8

Samuel is at the top of the tower and will ride down a zip line to a lower tower. The total vertical drop of the zip line is 40f

t. The zip line's angle of elevation from the lower tower is 11.5° . To the nearest tenth, what is the horizontal distance between the towers?
Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

196.6 feet

Step-by-step explanation:

Draw the right triangle formed by the zip-line.  Use SOH-CAH-TOA to write and solve an equation:

tan 11.5° = 40 / x

x = 40 / tan 11.5°

x = 196.6

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