Geometry and TrigonometryHardHeight of a tree from a stick's shadow
Geometry and Trigonometry practice question
At the same moment, a vertical stick 6 feet tall casts a shadow 9 feet long, and a nearby tree casts a shadow 15 feet long. How tall is the tree, in feet?
Answer: 10
The triangles are similar: tree/15 = 6/9, so the tree is 10 feet tall.
Common wrong answers
- If you answered 12
- 12 adds 6 to 15 minus 9.
- If you answered 18
- 18 adds 9 and 9.
- If you answered 22.5
- 22.5 inverts the ratio.
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