Question

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

Answer 1

Option B: 13.9 is the value of y

Step-by-step 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=(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)=(y)/(8)`

Multiplying both sides by 8, we have,

`8* tan \ 60^(\circ)=y`

Substituting the value of
`\tan 60^(\circ)` , we get,

`8* 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.