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faltersainse [42]
3 years ago
6

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 f

eet 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?
Mathematics
2 answers:
sp2606 [1]3 years ago
5 0

Answer:

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

h = 400 sin 70=379.88

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 = 400 cos 70 = 136.8 ft

Distnce between friend and you = 136.88+33.586

= 170.466 feet

natta225 [31]3 years ago
3 0
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
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