Solve the right triangle Find the length of the side opposit

Solve the right triangle. Find the length of the side opposite to the given angle. () Find the length of the side adjacent to the given angle. () Find the other acute angle. Find x rounded to one decimal place. X =

Solution

sin theta=opposite/hypotenuse

sin(3pi/8)=opposite/420

opposite=420sin(3pi/8)

opposite=388.03

cos (3pi/8)=adjacent/hypotenuse

cos(3pi/8)=adjacent/420

adjacent=420cos(3pi/8)=160.73

other acute angle is (180-90-67.5)=22.5=pi/8