Y= 4.6, 13.9, 21.6, ?

Option B: 13.9 is the value of y

Explanation:

Given triangle is a right angled triangle.

The legs of the triangle are 8 and y.

The hypotenuse of the triangle is x.

And the angle opposite to y is 60°

We need to determine the value of y.

Let us find the value of y using the tangent formula.

The formula for tan is given by

Since, we know that , and

Substituting these values in the formula, we get,

Multiplying both sides by 8, we have,

Substituting the value of , we get,

Simplifying, we have,

Rounding off, we get,

Thus, the value of y is 13.9

Hence, Option B is the correct answer.

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