You are flying a kite at an angle of 70 degrees. you have let out a total of 400ft of string and are holding the reel steady 4 feet above the ground. a friend watching the kite estimates that the angle of elevation to the kite is 85 degrees. how far from your friend are you standing?

Answer: 170 ft away

First, find the height of the kite from the ground:

h + 4 = 400 sin 70

h + 4 = 379.88 ft (from the ground)

Then, my distance to the directly downwards of where the kite is flying is:

d = 400 cos 70

= 136.8 ft

Then the distance of my friend from me:

D = 136.8 ft + (379.87) tan 85

= 170 ft