Question

In triangle JKL, the measure of angle L = 90, JL = 60, KL = 61, and LK = 11. What ratio represents the tangent of angle J?

a) Tan(J) = 11/60
b) Tan(J) = 60/11
c) Tan(J) = 61/11
d) Tan(J) = 11/61

Answer 1

The tangent of angle J in a right-angled triangle with sides JL = 60 and LK = 11 is Tan(J) = 60/11. The correct option is b.

Step-by-step explanation:

To find the tangent of angle J in triangle JKL, we use the definition of the tangent function in a right triangle, which is the ratio of the opposite side to the adjacent side relative to the angle in question.

In this case, JL is the opposite side, and LK (which is the same as KL written another way) is the adjacent side for angle J. Since angle L is given as 90 degrees, making triangle JKL a right triangle, we can use the given lengths to calculate the tangent of angle J:
Tan(J) = (opposite side) / (adjacent side) = JL / LK = 60 / 11

Therefore, the correct ratio that represents the tangent of angle J is Tan(J) = 60/11.