Question

a girl 1.6m tall stands at a distance of 3.2m from a lamp post and cast a shadow of 4.8m on the ground. find the height of lamp post. (ans: 2 2/3)​

Answer 1

Answer:

2 2/3 this is answer for this question

Answer 2

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A girl 1.6m tall stands at a distance of 3.2m from a lamp post and cast a shadow of 4.8m on the ground. find the height of lamp post.

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$Using \: trigonometric \: ratios. \\ </p><p>Let  AB be \: the \: height \: of \: lamp post. \\ \\ </p><p>Now, \: in \: traingle \: cde</p><p> \tan(0) = \frac{ed}{dc} \\ = \frac{1.6}{4.8} \\ = \frac{1}{3} .............(i) \\ \\ in \: triangle \: abc \\ \tan(0) = \frac{ab}{bc} \\ = \frac{ab}{3.2 + 4.8} \\ = \frac{ab}{8} ..............(ii) \\ \\ from \: i \: and \: ii\\</p><p> \frac{1}{3} = \frac{ab}{8} \\ = ab = \frac{8}{3} \\ = ab = 2.67$

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