Find the value of x. Round the length to the nearest tenth.

A: 15.6 yd

B: 31.2 yd

C: 10.4 yd

D: 9.0 yd

x = 10.4 yd

Step-by-step explanation:

The base angle of the triangle is equal to the angle, 30 degrees given. This is because they are alternate angles and alternate angles are congruent.

With m∠30 as the reference angle,

The adjacent side of the right angle triangle is 18

The opposite side of the right angle triangle is x

To determine x, we would apply

the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 30 = x/18

x = 18 tan 30 = 18 × 0.577

x = 10.4 yd

i need a picture

step-by-step explanation:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.