Question

Express tan M as a fraction in simplest terms. Help please

Answer 1

Answer:

tan M = $\frac{24}{7}$

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 = $\sqrt{576}$ = 24

Then

tan M = $\frac{opposite}{adjacent}$ = $\frac{KL}{LM}$ = $\frac{24}{7}$