A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
A)
45 feet
B)
83 feet
C)
91 feet
D)
109 feet

Question

A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
A)
45 feet	
B)
83 feet	
C)
91 feet	
D)
109 feet

anonymous · Answer

This is a trigonometric application problem.  The kite string and ground provide the sides of a triangle.|dw:1333835674341:dw|
to find the string length, use the equation sin(40 degrees) = opp / hyp = 70 / x

when you solve for x, the value should be about 108.9 or closest to 109

The correct answer is D) 109 feet