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daser333 [38]
3 years ago
8

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

Mathematics
1 answer:
melomori [17]3 years ago
5 0

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 (<em>p</em>) = 40

ML = base (<em>b</em>) = 9

LK = hypotenuse (<em>h</em>) = 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.

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