Question 12 Marks
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 $\tan \theta=\frac{6}{7}$.
Answer
Consider the following figure: Let the length of shadow be x m
In $\triangle ABC$,
$
\begin{aligned}
\tan \theta & =\frac{BC}{AB} \\
& =\frac{18}{x} \\
Or\quad\quad \frac{6}{7} & =\frac{18}{x} \\
Or \quad\quad x & =21
\end{aligned}
$
Hence, the length of shadow is 21 m .
View full question & answer→Consider the following figure: Let the length of shadow be x m
In $\triangle ABC$,
$
\begin{aligned}
\tan \theta & =\frac{BC}{AB} \\
& =\frac{18}{x} \\
Or\quad\quad \frac{6}{7} & =\frac{18}{x} \\
Or \quad\quad x & =21
\end{aligned}
$
Hence, the length of shadow is 21 m .