Question

A training air craft is flying at a height of $1450m$. The angle of depression of the control room as observed from air craft at a certain instance is ${30}^o$. Find the horizontal distance between the air craft and the control room at that instance.

Answer 1

REF.Image .

$tan{30}^{\circ }=\frac{CD}{AD}=\frac{AB}{BC}$

$\Rightarrow \frac{1}{\sqrt{3}}=\frac{1450}{x}$

$\Rightarrow x=1450\sqrt{3}$ m