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.
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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.
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