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A kite flying 40 feet in the air (perpendicular to the ground) is attached to a string held on the ground by a stake. The string makes an angle of 60 degrees with the ground. How long is the string? Round answers to the nearest hundredth.

46.19 feet

80.00 feet

23.09 feet

69.29 feet

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Respuesta :

fichoh

Answer:

46.19 feets

Step-by-step explanation:

Using Pythagoras rule :

Sin θ = opposite / hypotenus

Let length of string = s

Sin 60 = 40 / s

s * 0.8660254 = 40

s = 40 / 0.8660254

s = 46.188021 feets

s = 46.19 feets

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