Answer: 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
