Math, asked by diyamajhee, 1 year ago

an aeroplane when flying at a height of 2000m from the ground passes vertically above a helicopter at an instant when their angle of elevation from the same point on the ground are 60° and 30° . find the vertical distance of the helicopter from the ground

Answers

Answered by singhanimagaur103
2
the vertical distance of the helicopter from the ground will be 2000/3 m
Answered by naman8654
12
AB = height of plane

DB = height of helicopter = x

BC = y

In triangle DBC,

tan 30 ° = DB/BC

= x/y = 1/√3

x√3 = y ...(1)

In triangle ABC,

tan 60° = AB/ BC

2000/y = √3

using (1)

2000/x√3 = √3

2000 = (x√3)√3

2000 = 3x

x = 666.66 m = height of helicopter from ground.



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