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

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Presentation transcript:

There are three ratios that you need to learn: Where are the hypotenuse, adjacent and opposite lengths. This is opposite the right-angle This is next to the angle T h i s i s o p p o s i t e t h e a n g l e.

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

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

10cm We need to use the sine ratio and substitute the values/variables that we know.

We need to solve the equation (*). 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

15cm