Question: When an eagle looks at a rat on the ground, eagle does not attack the rat at its initial position.It takes into account the speed of the rat and the direction in which rat is moving. Afteranalysing the situation eagle attacks the rat in such a way that it may successful in catchingthe rat. Suppose an eagle sitting on the tree of height 90 m , observe a rat

When an eagle looks at a rat on the ground, eagle does not attack the rat at its initial position.

It takes into account the speed of the rat and the direction in which rat is moving. After

analysing the situation eagle attacks the rat in such a way that it may successful in catching

the rat. Suppose an eagle sitting on the tree of height $90$ m $,$ observe a rat with angle of

depression $45$ degree, and moving away from the tree with some speed. Eagle start flying

with $30$ degree downward and catch rat in $10$ second.

$($i$)$ What is the horizontal distance between tree and initial position of rat? $($a$)60$ m $($b$)$

$45$ m $($c$)90$ m $($d$)120$ m

$($ii$)$ What is the distance travelled by rat in $10$ seconds?

$($iii$)$ What is the distance travelled by eagle to catch rat?

$($iv$)$ What is the speed of rat?

$($v$)$ What is the speed of eagle?