3 years ago

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

Mathematics

1 answer:

kirza4 [7]3 years ago

3 0

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

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