Question

In the evening, the shadow of an object is very long due to the low position of the Sun. A 20m heigh lamp post makes a 99m long shadow. What is the distance from the top of the pole to the top of its shadow?

Answer 1

${h}^{2} = {l}^{2} + {b}^{2} \\ = > {h}^{2} = {(20)}^{2} + {(99)}^{2} \\ = > {h}^{2} = 400 + 9801 \\ = > {h}^{2} = 10201 \\ = > h = \sqrt{10201} \\ = > h = 101m$

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