Question

Y= 4.6, 13.9, 21.6, ????

Answer 1

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

$tan \ \theta=\frac{opp}{adj}$

Since, we know that $\theta = 60^{\circ$ , $opp=y$ and $adj=8$

Substituting these values in the formula, we get,

$tan \ 60^{\circ}=\frac{y}{8}$

Multiplying both sides by 8, we have,

$8\times tan \ 60^{\circ}=y$

Substituting the value of $\tan 60^{\circ}$ , we get,

$8\times 1.732=y$

Simplifying, we have,

$13.856=y$

Rounding off, we get,

$13.9=y$

Thus, the value of y is 13.9

Hence, Option B is the correct answer.