Question

In ΔKLM, the measure of ∠M=90°, KM = 40, LK = 41, and ML = 9. What ratio represents the tangent of ∠K?

Answer 1

tan(K) = 9/40

Explanation:

You have a right triangle KLM with side ML = 9 (opposite angle K) and KM = 40 (adjacent to angle K). You want to know the tangent ratio for angle K.

Tangent

The mnemonic SOH CAH TOA is intended to remind you that the tangent of an acute angle in a right triangle is ...

Tan = Opposite/Adjacent

Application

The tangent of angle K is the ratio ...

tan(K) = LM/KM

tan(K) = 9/40