Question

A peacock is sitting on the top of a tree. It observes a serpent on the ground making an angle of depression of ${30}^o$. The peacock with the speed of $300m/min$ catches the serpent in $12$ seconds. What height of the tree?

Answer 1

Given,

$\text{Speed}=300\text{m/min}$

We know that $\frac{\text{distance}}{\text{time}}=\text{speed}$

$\therefore AB=300\text{m/min}\times 12\text{seconds}$

$=\frac{300}{60}\times 12$

$AB=60\text{m}$

Now,

$\sin {30}^{\circ }=\frac{h}{AB}$

$\therefore h=\sin \left({30}^{\circ }\right)\times AB$

$=\frac{1}{2}\times 60$

$=30\text{m}$