Two crows A and B are sitting at a height of 15 m and 10 m in two different trees vertically opposite to each other . They view a vadai (an eatable) on the ground at an angle of depression 45° and 60° respectively. They start at the same time and fly at the same speed along the shortest path to pick up the vadai. Which bird will succeed in it? Hint : (foot of two trees and vadai (an eatable) are in a straight line)

Question

Philoid · Accepted Answer

Given, AC = 15 m, BD = 10 m, AE = ? and BE = ?

In triangle BED,

BE = hypotenuse

BD = perpendicular

ED = Base

∠ BED = ∠ OBE (adjacent angles are equal)

= 60°

We know,

⇒ BE√3 = 10 x 2

= 11.55 m

And, in triangle AEC ,

AC = Perpendicular

AE = Hypotenuse

CE = Base

∠ AEC = ∠ MAE (adjacent angles are equal)

= 45°

We know,

⇒ AE = 15√2

= 21.21 m

⇒ BD

⇒ Crow B will succeed.