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Answer:
26.1 ft
Step-by-step explanation:
The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
Filling in the known values, we have ...
sin(25°) = height/(50 ft)
height = (50 ft)sin(25°) ≈ 21.1 ft
Added to the height at which you are holding the string, this becomes the total height of the kite.
h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite
