Question

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

Answer 1

tan M =
`(24)/(7)`

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 =
`√(576)` = 24

Then

tan M =
`(opposite)/(adjacent)` =
`(KL)/(LM)` =
`(24)/(7)`