hypotenuse opposite adjacent Remember This is opposite the angle. This is opposite the right-angle There are three ratios that you need to learn: hypotenuse opposite adjacent This is next to the angle Remember Where are the hypotenuse, adjacent and opposite lengths.

Finding a length hypotenuse opposite adjacent 10cm You need to label all the lengths of the triangle. hypotenuse 10cm The adjacent is not needed in this question; the question is only using opposite and hypotenuse. opposite adjacent

Finding a length hypotenuse opposite 10cm You need to label all the lengths of the triangle. hypotenuse 10cm The adjacent is not needed in this question; the question is only using opposite and hypotenuse. opposite

Finding a length hypotenuse opposite 10cm We need to use the sine ratio and substitute the values/variables that we know. hypotenuse 10cm opposite

Finding a length hypotenuse opposite 10cm OR We need to solve the equation (*). hypotenuse 10cm opposite We can think of this as: OR rearrange the equation (*) by multiplying both sides by x.

These two triangles are very different. The variable x will be on the denominator This is an example of where we have to solve an equation with the variable on the denominator, so multiply both sides by x. still need to get x on its own, so divide both sides by sin30

2. Pick the correct formula 1. label the triangle opposite 15cm 3. Substitute in the correct values adjacent 4. Rearrange to find x

15cm opposite adjacent