Question

@Mathematics A kite, flying 50 feet high in the air is attached by a string to a stake in the sand. How long is the string to the nearest tenth of a foot?
A)50.0 feet
B)70.7 feet
C)86.6 feet
D)100.0 feet

Answer 1

There might be more than one answer possible here. Do you have a diagram?

Answer 2

Yes a50.0 b70.7 c77.9 d88.6

Answer 3

Much better. The 45-45-90 triangle has some known characteristics. The sides are proportionally 1-1-sqrt(2). That will make the hypotenuse (the string) measure about 50 sqrt(2)(a little less than 71 feet).

You can get the same answer by Pythagorean theorem:\[50^2+50^2=d^2 \implies d=\sqrt{5000}\approx71\]