Math CentralQuandaries & Queries


Question from Dorothy, a student:

I need to find the lamp height with casting shadow (base line of triangle where a boy 1.6m tall stands 3m from base of street lamp and has a 2m shadow. In other words, think of a right angle triangle with zero height starting at left, then 2m to right stands boy (1.6m high). Angle (hypotenuse) increases up to top of street lamp with 'x' height and 3m base.

Here is the diagram I get.


The triangles LTP and HTB are similar.

Can you complete the problem from here?

Write back if you need more assistance,

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