Mathematics: Find the value of x. round to the nearest degree.

Idk exactly what this meant, but it shows exponents and multiplication...

Find the value of x. round to the nearest degree.

daniellacalles

16.01.2022

The value of x is 35°.

Step-by-step explanation:

According to the trigonometric ratios, in a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

From the given figure it is clear that the length of opposite side is 8 units and the length of the hypotenuse is units.

Substitute θ=x, opposite=8 and hypotenuse=14 to find the value of x.

$\sin x=\frac{8}{14}$

Taking sin⁻¹ on both the sides.

$\sin^{-1}\sin x=\sin^{-1}\frac{8}{14}$

$x=\sin^{-1}\frac{8}{14}$

x=34.8499

$x\approx 35^{\circ}$

Therefore the value of x is 35°.

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