Question

What is the length, in units, of segment CD?
11
7.2
5.5
10

Answer 1

By using trigonometric relations, we will see that CD measures 7.2 units.

How to get the length of the segment CD?

First, we can get the angle C of triangle BAC.

We know that the opposite cathetus measures 5 units and the hypotenuse measures 6 units, then we can use the relation:

Sin(C) = (opposite cathetus)/(hypotenuse)

Then we can write:

C = Asin(5/6) = 56.44°

Then the angle C of triangle ACD is:

90° - 56.44° = 33.56°

Then segment CD, the hypotenuse of triangle ACD, is given by:

hypotenuse = CD = 6/cos(33.56°) = 7.2

So we conclude that segment CD measures 7.2 units.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

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