Question

Which of the following describes how to calculate the value of x?

sin20 times eight
sin20 divided by 8
8 divided by sin20

Answer 1

sin 20 times 8

Explanation:

Answer 2

Option (a) is correct.

To find the value of x, use
`\sin20^(\circ)* 8 = x`

Explanation:

Given : a right angled triangle with some given measurements.

We have to choose the correct calculation for the value of x.

Consider the given Right angle triangle.

Using trigonometric ratio,

We know, Sine gives the relationship between perpendicualr and hypotenuse of a triangle.

Thus,
`\sin\theta=(Perpendicular)/(Hypotenuse)`

For
`\theta=20^(\circ)`

We have Perpendicular = x and hypotenuse = 8

Thus, Substitute, we get ,

`\sin20^(\circ)=(x)/(8)`

Multiply both side by 8, we have,

`\sin20^(\circ)* 8 = x`

Thus, To find the value of x, we use
`\sin20^(\circ)* 8 = x`