Jagadeesh tried to estimate the height of a tree by covering the height with a vertical scale holding it at a distance of $50 c m$ from his eyes along horigental line and draw the figure as shown. If scale measurement of the tree is $15 c m$ and distance of the tree from him is $50 m$ . Find the actual height of the tree

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Solution

Let the height of the tree be $^{'} h^{'} m .$
Now, $△ D O C \sim △ B D A$
( By AA similarity )
$∴ \frac{C D}{A B} = \frac{D C}{D A}$
$\Rightarrow \frac{h}{0.15} = \frac{50 + 0.50}{0.50}$
$\Rightarrow h = \frac{50.50}{.50} \times 0.15 = 15.15 m$
$∴$ The tree is $15.15 m$
Hence, the answer is $15.15 m .$

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Let the height of the tree be ′h′m.Now, △DOC∼△BDA( By AA similarity )∴CDAB=DCDA⇒h0.15=50+0.500.50⇒h=50.50.50×0.15=15.15m∴ The tree is 15.15mHence, the answer is 15.15m.