Question

In AJKL, the measure of ZL=90°, JL = 60, KJ = 61, and LK = 11. What ratio

represents the tangent of ZJ?

Answer 1

The tangent of angle ZJ in right triangle AJKL is the ratio of side JL to side LK, which is 60:11.

Step-by-step explanation:

The student is dealing with a right triangle in triangle AJKL, where ZL (which likely should be angle JKL) is a right angle (90°), making triangle AJKL a right-angled triangle.

The tangent of angle ZJ (which is angle KJL in context) is equal to the opposite side over the adjacent side in the right triangle. Since JL = 60 and LK = 11, the tangent of ZJ is:

Tan(ZJ) = Opposite / Adjacent = JL / LK = 60 / 11

Therefore, the ratio representing the tangent of angle ZJ is 60:11.