Question

4. Find the value of x in the right triangle below.
60°

Answer 1

12

Explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

1 : √3 : 2

Then the sides marked will have the ratio ...

6 : x = 1 : 2 = 6 : 12

x = 12

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You can also get there using trigonometry.

cos(60°) = 6/x

x = 60/cos(60° = 60/0.5

x = 12