Question

In triangle MNP, angle P is a right angle. If MP=24,NP=10 and MN=26,then which of the following is the value of cosN?

1) 5/13
2) 12/13
3) 12/5
4) 13/12

Answer 1

`cos(N)=(5)/(13)`

Explanation:

we know that

In the right triangle MNP

`cos(N)=(NP)/(MN)` ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

`cos(N)=(10)/(26)`

simplify

`cos(N)=(5)/(13)`