数学问题,在机场,一个飞机的攀升的问题
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数学问题,在机场,一个飞机的攀升的问题
在机场,一个工作人员在离地面45米的塔.她看到一架飞机高度在14°向上的视线角度(高度)飞行.这架飞机的370公里/小时的速度常数
七秒钟后,飞机直飞开销.
到达塔后,计划在未来12秒攀升,在不改变速度,达到1000米以上的地面新的高度.
这时候距离地面的角度是多少
at an airport ,a flight controller was in a tower 45m above the ground. she observed a plane flying at a constant altitude(height) at an angle of elevation of 14 Angle from her line of sight. the plane had a constant speed of 370km/h.
seven seconds later the plane flew directly overhead.
on reaching the tower, the plan climbed for the next 12seconds, without changing speed, to reach a new altitude of 1000m above the ground.
what was the plane's angle of ascent during this time?
英文题,我用中文翻译了,麻烦大家正人解答
在机场,一个工作人员在离地面45米的塔.她看到一架飞机高度在14°向上的视线角度(高度)飞行.这架飞机的370公里/小时的速度常数
七秒钟后,飞机直飞开销.
到达塔后,计划在未来12秒攀升,在不改变速度,达到1000米以上的地面新的高度.
这时候距离地面的角度是多少
at an airport ,a flight controller was in a tower 45m above the ground. she observed a plane flying at a constant altitude(height) at an angle of elevation of 14 Angle from her line of sight. the plane had a constant speed of 370km/h.
seven seconds later the plane flew directly overhead.
on reaching the tower, the plan climbed for the next 12seconds, without changing speed, to reach a new altitude of 1000m above the ground.
what was the plane's angle of ascent during this time?
英文题,我用中文翻译了,麻烦大家正人解答
370/3.6*7= 719.44m
719.4*tan 14 + 45 = 224.3776m
1000-224.3776= 775.6m
370/3.6 *12 = 1233.33 m
775.6/1233.33 = 0.62888
arcsin 0.62888= 38.96776°
你翻译错了,不是距离地面的角度,而是爬升角度
719.4*tan 14 + 45 = 224.3776m
1000-224.3776= 775.6m
370/3.6 *12 = 1233.33 m
775.6/1233.33 = 0.62888
arcsin 0.62888= 38.96776°
你翻译错了,不是距离地面的角度,而是爬升角度