Question

Which of the following is correct based on this picture?

A. tan D=31/24
B. sin D=31/24
C. tan K=31/24
D. cos K=31/24

Answer 1

C. tan K=31/24

Explanation:

Relations in right triangles:

The sine of an angle is the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is the length of the adjacent side of the angle divided by the length of the hypotenuse.

The tangent of an angle is the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this question:

Sides 24 and 31.

Side opposite to K: 31

Side adjacent to K: 24

Then

tan K=31/24

And the correct answer is given by option D.