Question

In AKLM, the measure of ZM=90°, LK = 89, ML = 80, and KM = 39. What ratiorepresents the tangent of ZK?

Answer 1

The ratio that represents the tangent of Angle K is

80 : 39

OR Simply (80/39)

Step-by-step explanation

The key to solving this is to first sketch the image ot triangle KLM as described in the question.

The triangle is sketched using all od the details provided in the question.

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

For this question,

Hypotenuse = LK = 89

Opposite = ML = 80

Adjacent = KM = 39

Non-right-angle angle = Angle K = ?

We are then asked to find the tangent of Angle K, that is, Tan K

But from trignometric ratios, TOA tells us that

Tan K = (Opp/Adj)

Tan K = (80/39)

Hope this Helps!!!