I need help with a few questions, so I would greatly appreciate it if you could take the time to help me.
1. Find the length \(BC\), to two decimal places.
2. A quarter-circle with radius \(5\) is drawn. A circle is drawn inside the sector, which is tangent to the sides of the sector, as shown. Find the radius of the inscribed circle.
Help is appreciated thank you!
Angle B = 180 - 61-43 = 76o
Law of Sines says 8 is to sin 76 as BC is to sin 61o
8/sin 76 = BC/sin61
sin 61 * 8 / sin76 = BC = 7.21