Option D. If mLC = 90, mLA = 42, and CA = 10, the equation that can be used to find AB is [tex]cosine 42 = \frac{10}{AB}[/tex]
How to find AB
We have to find the the way to solve the right angled triangle we have here.
We have the angle at point A.
We have to make use of SOH CAH TOA rule
We would use
Cosine = adjacent / hypotenuse
adjacent = the value 10
The hypotenuse is = AB. This is the sign that is facing the angle.
We would then have the equation to be
Cosine 42° = 10/AB
[tex]cosine 42 = \frac{10}{AB}[/tex]
We can proceed to find AB
To get the value of AB
AB cosine 42 = 10
AB0.7431 = 10
AB = 10/0.7431
= 13.46
The value of AB = 13.46, But the questions only asked us to fing the equation. Hence option D is correct.
The complete question is in the attachment.
Read more on right angle triangles here:
https://brainly.com/question/2217700
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