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Contact [7]
2 years ago
5

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

Mathematics
1 answer:
kirza4 [7]2 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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