Question

I need help with this asap.

In triangle VUT, find the value of x. Round to the nearest tenth.

Answer 1

X = 29.9

Explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Selecting the angle of 18°:

Tangent Ratio:

`\displaystyle \tan 18^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}`

`\displaystyle \tan 18^\circ=(X)/(92)`

Solving for X:

`\displaystyle X=92\tan 18^\circ`

Operating:

`\displaystyle X=92*0.325`

X = 29.9