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?

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

170.466 feet

Step-by-step explanation:

Given that the kite had an angle of elevation of 70 degrees and 4 ft above the ground.

Using sine values, we find that the height of the kite above the reel would be

Total height from the earth = 379.88+4 = 383.88 ft.

The friend estimates the angle of elevations as 85 degrees

i.e. if d is the distance from the kite position, then we have

d=383.88 cot 85

=33.586 ft

Distance of you from the kite

Distnce between friend and you = 136.88+33.586

= 170.466 feet

0.15

Step-by-step explanation: