Thominewt
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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.

Find the value of x rounded to the nearest degree Please explain how to find this I know that its sinecosine ratios but Im not sure hwo to set it up class=

Respuesta :

MarkV
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
[tex] \sin(x) = \frac{opposite \: side}{hypotenuse} [/tex]


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

Answer:

x = [tex]27.8^{\circ}[/tex]

Step-by-step explanation:

Use Sine rule:

[tex]\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}[/tex]

As per the statement:

From the given figure:

Opposite side = 7 units

Hypotenuse side = 15 units

Using sine rule:

[tex]\sin x = \frac{7}{15}[/tex]

⇒[tex]x = \sin^{-1}(\frac{7}{15})[/tex]

Simplify:

x = 27.8181392847 degree

Therefore, the value of x rounded to the nearest degree is, [tex]27.8^{\circ}[/tex]