more trigonometry

Question

joaquin is flying a kite. he has let out 300 ft of kite string. the string makes an angle of 64 degrees with the level ground. to the nearest foot, how high is his kite

Answer 1

We can draw the kite string/kite as a slanted line, with a horizontal line representing the ground and a vertical line representing the height from the ground to the kite. This gives us a right triangle with one of the side angles being 64 degrees. From there we can use trig ratios (remember that sin is opposite over hypotenuse) in order to solve for the height of the kite (which is the side opposite to the 64 degree angle).

sin(64)=height/300

300*sin(64)=height

Therefore the height of the kite is 300*sin(64) ft, or about 270 ft.