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Ex 6.5, 11 - An aeroplane leaves an airport and flies north - Ex 6.5

  1. Class 10
  2. Important Questions for Exam - Class 10
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Ex 6.5, 11 An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 11/2 hours? Given : Speed of north flying aeroplane = 1000 km/hr. Speed of west-flying aeroplane = 1200 km/hr. To find: Distance between the two planes after 1.5 hours , i.e. , BC Solution: We know that Speed = (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 )/𝑇𝑖𝑚𝑒 Distance = speed × time Now, we have to find distance BC Since North and West are perpendicular, ∠ BAC = 90° So, Δ ABC is a right triangle Using Pythagoras theorem in right angle triangle ACB (Hypotenuse)2 = (Height)2 + (Base)2 (BC)2 = (AB)2 + (AC)2 (BC)2 = (1500)2 + (1800)2 (BC)2 = 2250000 + 3240000 (BC) = √5490000 = √(3×3×61×100×100) = √((3)^2×(100)^2 )×√61 = 3×100√61 = 300 √61 km Hence, two planes would be 300√61 km from each other.

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  • Yash Vadadoriya's image
    Yash Vadadoriya
    Sept. 9, 2017, 7:55 p.m.

    In class 10 mathematics chapter number 6 triangles exercise number 6.5 11th question the aeroplane should fly in the West you draw to east

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