You are flying a kite and have let out 80 m of string. The angle of elevation with the ground is 40 degrees. If the string is stretched straight, how high is the kite above the ground?

Question

Please show step by step

Answer 1

height = 80sin40 = about 51.4 meters

80=the hypotenuse of a right triangle

sin40 = height divided by the hypotenuse = height/80

80 x height/80 = height

80sin40 = height = about 51.4 m

Answer 2

sin(40) = height/80