D. 5.9
math question no guessing

We will make use of our trigonometric functions in this problem.

Now that we know we need to find , since .

Therefore, we can come to our final

So for this, we will be using tangent (tan = opposite/adjacent) to solve for the sides BD and BC, then subtract the two sides to get CD.

Triangle ABC has ∠A = 28 degrees. Since we have the adjacent side (AB = 85) and we need to solve for the opposite side, we are using tangent. Our equation will look as such:

For this, just cross-multiply and your answer will be (Rounded to the tenths):

Next, Its the same process with triangle ABD as ABC except that the angle is 31 degrees instead of 28.

Next, subtract the two sides together and your answer will be 5.9, or D.

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step-by-step explanation: