Akite flying in the air has an 11 - ft line attached to it. its line is pulled taut and casts an 8 - ft shadow. find the height of the kite. if necessary, round your answer to the nearest tenth.

The line, shadow and the height form a right angled triangle so we can apply the Pythagoras theorem here:-

11^2 = h^2 + 8^2       where h = height of the kite
h^2 = 11^2 - 8^2
h^2 = 57
h = 7.55 ft to the nearest foot   Answer