Answers choices 10.4 yd 31.2yd 9.0 yd 15.6 yd

10.4 yd

Step-by-step explanation:

In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).

In this problem,

The length of the opposite side (O) = 18

the length of the adjacent side (A) = x

We have to determine the angle we need to put in this formula.

Since the angle formed by the dotted line (which is parallel to the longer leg) and side x (the shorter leg) is 90 degrees, the angle we need is 60 degrees: 90° - 30° =60°.

Thus, tan 60°=18/x

x=18/tan 60°

tan 60° = √3 = 1.732

x=18/1.732

x=10.3923

Rounding the length to the nearest tenth, we have the answer 10.4 yd.  

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step-by-step explanation: