Question

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
A.17°
B.27°
C.63°
D.73°

Answer 1

@Vocaloid

Answer 2

here's a picture of what is going on (sorry about the bad handwriting)

Answer 3

Here are the trigonometric equations I'm assuming you're learning about:

tan(x) = (opposite) / (adjacent)

sin(x) = (opposite) / (hypotenuse)

cos(x) = (adjacent) / (hypotenuse)

Answer 4

here's me trying to label the (hypotenuse), (opposite), and (adjacent) sides of the triangle

Answer 5

notice that
(hypotenuse) = 100
and
(adjacent) = 30

Answer 6

using this information, we should pick the trig equation that involves both the (hypotenuse) and (adjacent) and solve for for (x) from there

Answer 7

If you don't understand, or still need help, feel free to come back and tag me with @Angle

Good luck!