Question

Look at the triangle.

What is the value of sin x°?
(A) 5 ÷ 13
(B) 12 ÷ 5
(C) 12 ÷ 13
(D) 5 ÷ 12

Answer 1

5/13 because it the right answer

Answer 2

option (c) is correct.

`\sin x=(12)/(13)`

Explanation:

Given a triangle with base 12 cm , perpendicular = 5 cm and hypotenuse = 13 cm

We have to find the value of sin x° and choose the correct option.

Lets first name the given triangle as ΔABC, as shown in figure below.

We know the value of trigonometric ratio sine is ,

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

Here,
`\theta=x`

and for x to be angle, perpendicular is AB and hypotenuse is AC.

`\sin x=(AB)/(AC)`

Substitute the values, we get,

`\sin x=(12)/(13)`

Thus, option (c) is correct.