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Geometry and TrigonometryHardRise of a road from its angle

Geometry and Trigonometry practice question

A straight section of road 40 metres long rises at an angle of 30° to the horizontal. By how many metres does the road rise over that section?

Answer: 20

40 sin 30° = 40 × 1/2 = 20.

Common wrong answers

If you answered 80
80 divides by sin 30°.
If you answered 34.6
34.6 uses cos 30°, the horizontal run.
If you answered 23.1
23.1 uses tan 30°.

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