Question

Find the value of x, rounded to the nearest degree

Please explain how to find this. I know that it's sine/cosine ratios but I'm not sure hwo to set it up.

Answer 1

Hi there! The answer is x = 27.8

To find the length of RS we need to use the sine.
The general formula of the sine is the following

`\sin(x) = (opposite \: side)/(hypotenuse)`


When we fill in the formula, we get the following

`\sin(x) = (7)/(15) \\ x = \sin {}^( - 1) ( (7)/(15) ) = 27.8`

Answer 2

x =
`27.8^(\circ)`

Explanation:

Use Sine rule:

`\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}`

As per the statement:

From the given figure:

Opposite side = 7 units

Hypotenuse side = 15 units

Using sine rule:

`\sin x = (7)/(15)`

⇒
`x = \sin^(-1)((7)/(15))`

Simplify:

x = 27.8181392847 degree

Therefore, the value of x rounded to the nearest degree is,
`27.8^(\circ)`