Question

Tom is standing 14 meters from the base of a kite. The kite string makes a 67° angle with the ground. Find x, the length of the kite string. Round to the nearest hundredth.(1 point)
Responses

5.47 m
5.47 m

69.05 m
69.05 m

35.83 m
35.83 m

15.21 m

Answer 1

Let x be the string (hypotenuse). cos(67°) = adjacent/hypotenuse = 14/x, so x = 14 / cos(67°) ≈ 35.83 m.