Question

person 1.65m tall casts 1.8m shadow. At the same instance a lamp posts costs a shadow

of 5.4m. find the height of the lamp post

Answer 1

The shadow is in same time therefore the angle will be equal and both the triangle will similar.
Let height(2) be x.

Therefore,

Height(1)/ Shadow(1) = height(2)/ shadow(2)

1.65/1.8 = x/5.4
(1.65×5.4)/ 1.8 = x
8.91/1.8 = x
X = 4.95

Therefore height of lamp post = 4.95m

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