a person flying a kite holds the string 4 feet above ground level. the string of the kite is taut and makes an angle of 60 degrees with the horizontal. Approximate the height of the kite above level ground if 500 feet of string is payed out

Question

wolf1728 · Answer

sine (60°) = hgt / hypotenuse
sine (60°) = hgt / 500 feet
0.8660254038 * 500 = height
height = 433 feet
Adding the 4 feet above the ground where the kite is held
height = 437 feet

anonymous · Answer

$$500 \sin (60 {}^{\circ})+4=4+250 \sqrt{3}=437.013 $$