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.
Please help.
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The book is callled
Math Power10
Ontario edition
Grade 10 math text book
2007-01-08 13:02:52 · 3 answers · asked by Sunny 2 in Education & Reference ➔ Homework Help
its simple trig.
first set up 2 triangles, 1 with 70* elevation, one with 33* elevation, and 10000 on the height. From there, knowng tangent is opposite over adjacent, set up equations (one for each triangle).then solve for them. THen figure out the difference between them, which is the distance traveled in that minute. then convert to km/hr.
i got 705 km/hr.
the guy above me is incorrect. there are no radii in this problem.
2007-01-08 13:16:20 · answer #1 · answered by Kyle M 6 · 0⤊ 0⤋
seems such as you made a mistake writing numbers 2 and 3 simply by fact they don't make experience. For form a million, on account which you realize that y = x-5, in simple terms put in x-5 for y interior the 1st equation. So 2x + y = 25 will grow to be 2x + x - 5 = 25. upload 5 to the two factors to get 2x + x = 30. upload the x's at the same time to get 3x = 30. Divide the two factors with the aid of 3 and you get x = 10. on account that y = x-5, y is 10 - 5, or y = 5. So your answer is (10, 5) For 4 with the aid of 9, you will desire to simplify. What is going into the two 5x and 30? 5 does, so as meaning 5x + 30 = 5(x + 6) For #5, think of of the factors of 14. they are (a million and 14), and (2 and 7). are you able to apply one in all those pairs to function as much as 9 for 9x? sure, with the aid of including 2 and 7. So once you element it, you get (x + 2)(x + 7). Do the comparable with something.
2016-10-30 09:36:06 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Kyle has the right idea but you have to consider that the plane is not flying tangent to the earth but actually on an arc following the curvature of the earth. Taking this into account and ignoring elipticity (since no lat/long was specified) the actual ground speed is 706.69 km/h rounded to 707 km/h.
2007-01-08 13:28:22 · answer #3 · answered by huskie 4 · 0⤊ 0⤋