Question

Please help me answer this!

Answer 1

x = 3

Explanation:

Trigonometric Ratios

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

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

`\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}`

`\displaystyle \tan 60^\circ=(3√(3))/(x)`

Solving for x:

`\displaystyle x=(3√(3))/(\tan 60^\circ)`

Since:

`\tan 60^\circ=√(3):`

`\displaystyle x=(3√(3))/(√(3))`

Simplifying:

x = 3