Question

"In AJKL, the measure of L=90°, KJ = 61, LK = 11, and JL = 60. What ratio represents the tangent of ZJ?"

A) 11/60
B) 60/11
C) 61/11
D) 11/61

Answer 1

The tangent of angle ZJ in triangle AJKL, with given side lengths and a right angle at L, is the ratio of the side opposite to ZJ (LK) to the side adjacent to ZJ (KJ). Hence, the correct ratio representing the tangent of ZJ is 11/61.

Step-by-step explanation:

The student has asked for the ratio that represents the tangent of ZJ in triangle AJKL where L is a right angle, and the lengths of sides KJ, LK, and JL are given. Since L is 90°, the triangle is a right triangle and the tangent of angle ZJ, which we can assume is the angle opposite to side LK, will be the ratio of the opposite side to the adjacent side.

To find the tangent of ZJ, we look at the sides opposite and adjacent to it. Since JL is the hypotenuse for the right angle at L, the opposite side to ZJ would be LK and the adjacent side would be KJ. Therefore, the tangent of angle ZJ is the ratio of LK to KJ, which is 11/61.