question_answer

The ratio of the height of a tower and the length of its shadow on the ground is \[\sqrt{3}:1\]. What is the angle of elevation of the sun?

Answer:

Given, \[\frac{AB}{BC}=\frac{\sqrt{3}}{1}\]

In \[\Delta \,ABC\]

\[\tan \,\,\theta =\frac{AB}{BC}=\frac{\sqrt{3}}{1}\]

\[\Rightarrow \]            \[=60{}^\circ \]

Hence, the angle of elevation is \[60{}^\circ \].