Answer:
Step-by-step explanation:
Triangle BCZ is a right angle triangle. Triangle BCU is also a right angle triangle. Side BU is common to both triangles.
To determine m∠ZBC, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan B = 8/6 = 1.33
m∠ZBC = Tan^-1(1.33) = 53.06
m∠UBC = m∠ZBC/2 = 26.53
To determine CU, we would apply
the tangent trigonometric ratio.
Therefore,
Tan 26.53 = CU/6
CU = 6Tan26.53
CU = 6 × 0.4992
CU = 2.9952
