Using the measurements given in the figure, the value of $t a n θ$ = _________.

$\frac{3}{4}$

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$\frac{4}{3}$

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Solution

The correct option is B
$\frac{4}{3}$

In $Δ B D C$ ,

DC = 5 (Pythagoras Triplet 5 - 12 - 13)

Draw $D E ⊥ A B$

$∴$ AE = 14 - 5

= 9

$t a n θ = \frac{12}{9}$

$= \frac{4}{3}$

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