Question

Find the value of x, rounded to the nearest degree

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
$\sin(x) = \frac{opposite \: side}{hypotenuse}$


When we fill in the formula, we get the following
$\sin(x) = \frac{7}{15} \\ x = \sin {}^{ - 1} ( \frac{7}{15} ) = 27.8$

Answer 2

Answer:

x = $27.8^{\circ}$

Step-by-step 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:

$\sin x = \frac{7}{15}$

⇒$x = \sin^{-1}(\frac{7}{15})$

Simplify:

x = 27.8181392847 degree

Therefore, the value of x rounded to the nearest degree is, $27.8^{\circ}$