Consider the triangle shown below not drawn to scale Let b

Consider the triangle shown below (not drawn to scale). Let b = 5, angle A = 50 degree and a = 4. Find the measure of angle B if angle B is obtuse, and if angle B is acute. Give your answers to at least 3 decimal places. If angle B is acute, angle B= If angle B is obtuse, angle B=

Solution

b=5 , A=50 degree, a=4

using sine law

sin A/a=sinB/b

sin 50/4=sinB/5

sinB=73.247 degree that is acute angle

B₂=180 -73.247=106.753 degree that is obtuse angle .