In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?

tan ∠L = 65/72

Step-by-step explanation:

The tangent ratio is:

tan of angle x = opposite/adjacent

Looking from the perspective of angle L, find the opposite side.

This side is MN, measuring 65 units.

opposite = 65

Now let's find the adjacent side.

This side is LN, measuring 72 units.

adjacent = 72

Therefore, the tangent ratio of angle L is 65/72.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743