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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

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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