Question

Look at the triangle:

What is the value of sin x°?

12 ÷ 13
13 ÷ 5
13 ÷ 12
5 ÷ 13

Answer 1

The last answer (5 ÷ 13) is correct

Explanation:

SOH or sin x° =
`(Opposite)/(Hypotenuse)`

In this equation:

Opposite = 5cm

Hypotenuse = 13cm

sin x° =
`(5)/(13)` or, 5÷13

Answer 2

The correct option is 4.

Explanation:

In a right angled triangle,

`\sin \theta=(perpendicular)/(hypotenuses)`

In the given triangle it is clear that,

Hypotenuse = 13 cm

Perpendicular = 5 cm

Base = 12 cm

`\sin x^(\circ)=(5)/(13)`

`\sin x^(\circ)=5/ 13`

Therefore option 4 is correct.