Find the length of the shadow on the ground of a pole of height 18 m when angle of elevation θ of the sun is such that…

CBSE Class 10 Maths PYQ · Applications of Trig · Single Triangle · 2 Marks · March 2023 · Standard

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212 Marks · March 2023 · Standard

Find the length of the shadow on the ground of a pole of height $18$ m when angle of elevation $\theta$ of the sun is such that $\tan \theta = \frac{6}{7}$.

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Pole of height $AB = 18$ m
$AP = \text{length of shadow}$
In $\triangle APB$, $\tan \theta = \frac{18}{AP}$
$\frac{6}{7} = \frac{18}{AP}$
$\Rightarrow AP = 21$ m