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.
17°
27°
63°
73°

Answer 1

Which trigonometric function do you think we should use to calculate the angle?

Answer 2

\[\cos \theta=(Adjacent Side)/(Hypotenuse)=30/100=0.3:.\theta = \cos^{-1} (0.3)=72.54^{o}\]