Question

In △KLM, the measure of ∠M=90°, ML = 28, LK = 53, and KM = 45. Find tan L and cos K.

Answer 1

The triangle KLM can be drawn as,

The value of tan L and cosK can be determined as,

`\begin{gathered} \tan L=(KM)/(ML) \\ =(45)/(28) \\ =1.6 \\ \cos K=(KM)/(KL) \\ =(45)/(53) \\ =0.85 \end{gathered}`

Thus, the required value of tanL is 1.6 and cosK is 0.85.