Geometry and TrigonometryMediumHeight from a 45° angle of elevation
Geometry and Trigonometry practice question
From a point 12 metres from the base of a wall, the angle of elevation to the top of the wall is 45°. How tall is the wall, in metres?
Answer: 12
tan 45° = 1, so the height equals the distance: 12.
Common wrong answers
- If you answered 6
- 6 halves the distance.
- If you answered 17
- 17 is roughly the line of sight, 12√2.
- If you answered 24
- 24 doubles it.
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