Answer:
adj = 5.87
Explanation:
Apply the tangent function here, noting that tan 50 = opp / adj and that the opp side length is 7. Then:
tan 50° = 1.19 = 7 / adj where adj = BC
Inverting this equation, we get
1 adj
------- = ------
1.19 7
cross multiplying results in 1.19*adj = 7, so that adj = 7/1.19, or adj = 5.87