Question
An aircraft is flying in a straight line away from a person standing on the ground. The initial angle of elevation changes from 70 degrees to 30 degrees in 1 minute. What is the cruising speed of the aircraft if its altitude is 10,000 m?
Answers
If x is the horizontal distance away (in km),
x/10 = cotθ
x = 10cotθ
x(70) = 3.63
x(30) = 17.32
so, the plane traveled 13.69km in 1 minute
speed is thus 13.69km/min
x/10 = cotθ
x = 10cotθ
x(70) = 3.63
x(30) = 17.32
so, the plane traveled 13.69km in 1 minute
speed is thus 13.69km/min
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