Question

In triangle MNO, if angle O is 90° and NM = 89, ON = 39, and MO = 80, what ratio represents the tangent of angle N?

1) 89/39
2) 39/89
3) 80/89
4) 89/80

Answer 1

The tangent of angle N in triangle MNO is 89/39. Therefore, the correct option is 1.

Step-by-step explanation:

To find the tangent of angle N in triangle MNO, we can use the formula: tangent(N) = opposite/adjacent. In this case, the opposite side of angle N is NM and the adjacent side is ON. Therefore, the tangent of angle N is NM/ON.

Substituting the given values, the tangent of angle N is 89/39. So, the correct ratio representing the tangent of angle N is 89/39. Therefore, the correct answer is option 1) 89/39.