Remember:

SOH-CAH-TOA
So if 
 
 
 sin = opposite/hypotenuse

 35 =CB

 
sin    9

rearrange the equation:
 (sin 35) × 9 = CB
Using your calculator:
 
 5.16 m = CB
So if 
 
 
 cos = adjacent/hypotenuse

       AC
 
 
cos 35 = 9

rearrange the equation:
 (cos 35) × 9 = AC
Using your calculator:
 
 7.37 m = AC
So if 
 
 
 tan = opposite/adjacent

 y = AC
 
 
tan   BC

 y = 7.37
 
 
tan   5.16

                  y = 55o

1.1.4 Worked Example

  • 2.
  • 3.
    So if sin = opposite/hypotenuse 35 =CB sin 9 rearrange the equation: (sin 35) × 9 = CB Using your calculator: 5.16 m = CB
  • 4.
    So if cos = adjacent/hypotenuse AC cos 35 = 9 rearrange the equation: (cos 35) × 9 = AC Using your calculator: 7.37 m = AC
  • 6.
    So if tan = opposite/adjacent y = AC tan BC y = 7.37 tan 5.16 y = 55o