Question

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

Answer 1

Work shown above! Answer is x =35 degrees

Answer 2

The value of x is 35°.

Explanation:

According to the trigonometric ratios, in a right angled triangle

`\sin \theta=(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=(8)/(14)`

Taking sin⁻¹ on both the sides.

`\sin^(-1)\sin x=\sin^(-1)(8)/(14)`

`x=\sin^(-1)(8)/(14)`

`x=34.8499`

`x\approx 35^(\circ)`

Therefore the value of x is 35°.