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.