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

Express Tan M As A Fraction In Simplest Terms Help Please class=

Sagot :

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]

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