111k views
16 votes
What is the length, in units, of segment CD?

5.50
12.25
8
14

2 Answers

12 votes

Answer:

d

Explanation:

User Suhas Mucherla
by
3.4k points
8 votes

The answer is C.

Explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

User ChickensDontClap
by
4.2k points