Aircraft Speed: An Airbus A320 aircraft is crusing at a n altitude of 10 000m. The aircraft is flying in a straight line away from Chandra, who is standing on the ground. If she sees the angle of elevation of the aircraft change from 70 deg to 33 deg in 1 minute, what is the cruising speed, to the neaeest kilometer per hour? Use language to explain your variables and steps.
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Math Power10
Ontario edition
Grade 10 math text book
2007-01-08 13:01:16 · 2 answers · asked by Sunny 2 in Science & Mathematics ➔ Mathematics
Chandra's initial horizontal distance from aircraft = d
Chandra's final horizontal distance from aircraft = D
tan70 = 10000 / d
d = 10000 / (tan70) = 3640 m
tan33 = 10000 / D
D = 10000 / tan33 = 15398 m
Distance travelled by aircraft in 1 minute = 15398 - 3640 = 11758 m
Distance in 60 minutes (1 hour)
= 11758 x 60 = 705480 m = 705.480 km
Speed = 705.480 km/h
2007-01-08 13:20:11 · answer #1 · answered by Sheen 4 · 1⤊ 0⤋
Kyle has the the main suitable option theory yet you will desire to evaluate that the airplane isn't flying tangent to the earth yet certainly on an arc following the curvature of the earth. Taking this into consideration and ignoring elipticity (on account that no lat/long replaced into unique) the actual floor speed is 706.sixty 9 km/h rounded to 707 km/h.
2016-10-30 09:35:55 · answer #2 · answered by Anonymous · 0⤊ 0⤋