Question

a peacock is sitting on a tree and observes its prey on the ground, it makes an angle of depression of 22 degree to catch the prey. The speed of the peacock was observed to be 100 km/hr and catches it's prey on 1 min 12 sec At what height peacock was on a tree.

Answer 1

Answer:

749.2 meters

Step-by-step explanation:

Peacock forms an right angle triangle as shown in the picture.  

AB = distance traveled by peacock.

AC = Height at which peacock was sitting.

AB = speed * time

Speed = 100km /hr = 250/9 m/sec

Time = 1 min 12 sec = 72 seconds.

AB = 250*72/9 = 2000 meters.

Sin(22) = AC / AB = AC / 2000

Sin (22) = 0.3746

AC = 0.3746 * 2000 = 749.2 meters

Peacock is sitting at a height of 749.2 meters.