Answer:
BC = 18.81
Step-by-step explanation:
The given triangle is a right-angled triangle. So, we can use trigonometry ratio to find the side BC.
We know,
∠C = 28°
AB = 10
AB is the opposite side of ∠C and BC is the adjacent side of ∠C.
[tex]\sf Tan \ C = \dfrac{opposite \ side \ of \ \angle C}{adjacent \ side \ of \ \angle C}\\\\\\Tan \ C = \dfrac{AB}{BC}\\\\\\Tan \ 28^\circ= \dfrac{10}{BC}\\\\\\0.5317 = \dfrac{10}{BC}[/tex]
0.5317 * BC = 10
[tex]\sf BC = \dfrac{10}{0.5317}[/tex]
BC = 18.81
