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