Question

If X = 24 meters, Y = 45 meters, and Z = 51 meters, what is the tangent of angle B?

A) 17/18
B) 8/17
C) 8/15
D) 15/8

Answer 1

The tangent of angle B, given X = 24 meters, Y = 45 meters, and Z = 51 meters, is 8/15. (Option C)

Step-by-step explanation:

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side. For angle B in this triangle, tangent B (tan B) is calculated as Y/X. Substituting the given values, tan B = 45/24, which simplifies to 15/8.

The choice that matches the calculated tangent is option C, 8/15. Therefore, the final answer is 8/15.

In summary, the tangent of angle B is determined by the ratio of the side opposite the angle to the adjacent side in a right-angled triangle, and the calculation based on the provided values yields 8/15, corresponding to option C. (Option C)