Question

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

Answer 1

Answer:

The ratio representing the tangent of ∠K is 40 : 9.

Step-by-step explanation:

Consider the right-angles triangle KLM below.

The angle M is 90°.

KM = perpendicular (p) = 40

ML = base (b) = 9

LK = hypotenuse (h) = 41

The tangent of an angle is the ratio of the perpendicular length to the length of the base.

Compute the tangent of ∠K as follows:

$tan (K)=\frac{p}{b}=\frac{40}{9}$

Thus, the ratio representing the tangent of ∠K is 40 : 9.