A right-angled triangle has an angle of 30 degrees and its hypotenuse has a length of 9cm. Find the length of either of the triangle's other two sides.
Please note that this solution is easier to explain with 2 diagrams
The side opposite of the 30 degree angle:
If we have the hypotenuse and require the length of the opposite side then we would use sin (SohCahToa).
Therefore, sin30 = opposite/9
9sin30 = opposite length
4.5cm = opposite length
The adjacent side:
We have the length of the hypotenuse and need to find the adjacent side then we use Cos (SohCahToa)
Therefore, cos30 = adjacent/9
9cos30 = adjacent
7.80cm (2d.p) = adjacent length.
CB
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