## 10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation from the boat to the parasailor is 36º. Estima

Question

10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation

from the boat to the parasailor is 36º. Estimate the parasailor’s height above the

boat. Round your answer to the nearest tenth

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Math
1 week
2021-09-15T02:43:08+00:00
2021-09-15T02:43:08+00:00 1 Answer
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## Answers ( )

Answer:The parasailor height is 47ft

Step-by-step explanation:We can think of the problem as a right triangle, the string would be the hypotenuse and the height of the parasailor would be a leg.

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 36°

a: adjacent

o: opposite = ?

h: hypotenuse = 80ft

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

is the sine

sin α = o/h

sin 36° = o/80

sin 36° * 80 = o

47.02 = o

if we round to the nearest tenth

47.02 = 47.0

The parasailor height is 47ft