Question

What is the secant of angle L? A) 15/12 B) 13/5 C)12/13 D)12/5

Answer 1

Hey there! I'm happy to help!

The secant is the ratio of the hypotenuse to the side adjacent to the angle. However, we do not have the measure of the hypotenuse given to us. This is a right triangle, so we can use the Pythagorean Theorem to find the hypotenuse. Our sides have lengths of 5 and 12.

5²+12²=c²

25+144=c²

c²=169

We square root both sides

c=13

Now, we take our hypotenuse (13) and we put it over the adjacent side to angle L, which is 5.

Therefore, the secant is B) 13/5.

I hope that this helps! Have a wonderful day!