Solve the right triangle using the information given Round a

Solve the right triangle using the information given. Round answers to two decimal places, if necessary.

Solution

the given triangle is right angled with C =90^o

c²=a²+b²

c²=5²+6²

c²=61

c=7.81

sinA=a/c

sinA=5/7.81

A=arcsin(5/7.81)

A=39.81^o

sinB=b/c

sinB=6/7.81

B=arcsin(6/7.81)

B=50.19^o