## Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying about the kite,

Question

Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying about the kite, you decide to calculate how much string you have let out. Assuming the string is held tight and makes a straight line to the ground, how much string have you let out?

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4 weeks 2021-08-30T16:03:27+00:00 1 Answers 0 views 0

42 feet of string

Step-by-step explanation:

First, draw a diagram of the string, the height and the angle.

the length of the string is equal to the hypotenuse of the triangle

let length of the string=x

sin(θ)=opp/hyp

sin(72°)=40ft/x

x=40ft/sin(72°)

x=42.05848897ft≈42ft
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