A kite is flying 77ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 40°. Find the length of the string. Round your answer to the nearest tenth. please help
We will have a right triangle with the string length the hypotenuse
And we know the side opposite the angle of elevation
The sine relates the opposite side and the hypotenuse
We have
sin (40°) = opp / hyp
sin (40°) = 77/ hyp rearrange as
hyp = 77 / sin (40°) = 119.79 ft = 119.8 ft =the string length