Geometry and TrigonometryMediumHeight of a lamp post from a model
Geometry and Trigonometry practice question
A scale model of a lamp post is 5 centimetres tall and casts a 2-centimetre shadow on the model's base. The real lamp post casts a 6-metre shadow at the same time of day. How tall, in metres, is the real lamp post?
Answer: 15
Height to shadow is 5 : 2, so 6 × 5/2 = 15.
Common wrong answers
- If you answered 9
- 9 adds 3 to 6.
- If you answered 30
- 30 multiplies 6 by 5.
- If you answered 2.4
- 2.4 inverts the ratio.
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