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

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