1. 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.

2. 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

3. 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

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

5. 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.

6. 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

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

8. 15cm
opposite
adjacent