Answer:
tan M = [tex]\frac{24}{7}[/tex]
Step-by-step explanation:
To obtain tan M we require to find KL
Using Pythagoras' identity in the right triangle.
KL² + LM² = KM²
KL² + 7² = 25²
KL² + 49 = 625 ( subtract 49 from both sides )
KL² = 576 ( take square root of both sides )
KL = [tex]\sqrt{576}[/tex] = 24
Then
tan M = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{24}{7}[/tex]
