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
The parasailor height above the boat is 47ft.
Since
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.
So,
sin α = o/h
cos α= a/h
tan α = o/a
Now
sin α = o/h
sin 36° = o/80
sin 36° * 80 = o
47.02 = o
= 47.02
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