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A right triangle is shown.15r220Which is closest to the value of x?13.99.06.15.6

A right triangle is shown.15r220Which is closest to the value of x?13.99.06.15.6-example-1

1 Answer

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We can use trigonometric ratio to find the value of x


\sin \theta=(opposite)/(hypotenuse)

From the question,

θ=22 opposite = x hypotenuse = 15

substitute the values into the formula and evaluate


\sin 22=(x)/(15)

cross-multiply


x=15\sin 22^0
x\approx5.6

Therefore, the closest value is 5.6

User Nicu
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