MATHS QUESTION, please help!?

what angle does a line passing through (1,5) and (3.10) make woth the positive direction of the x axis

please help, my tests tommorow!

4 Answers

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  • 9 years ago
    Best Answer

    Hi,

    Th slope of the line through (1,5) and (3,10) is (10 - 5)/(3 - 1) = 5/2.

    So, it goes up 5 and 2 to the right so the:

    tan A = 5/2

    a = tan^-1(5/2) = 68.2º <==ANSWER

    I hope that helps!! :-)

  • 9 years ago

    Given the points:

    (x1, y1) = (1, 5)

    (x2, y2) = (3, 10)

    The angle that a line passing through these points make with the positive direction of the x axis would be = arctangent (y2 - y1)/(x2 - x1).

    arctangent (10 - 5)/(3 - 1) = arctangent (5/2) = 68.19859051 degrees

  • 9 years ago

    Lets just say this.

    To find the angle, you must use the trig laws.

    Find a point. Lets say the point is (3,10) and lets make a triangle.

    The base would be 3, (x=3) and the height would be 10 (y=10).

    The angle proportional to the x-axis would be tan^-1(10/3). (TOA)

  • 9 years ago

    the slope of the line is

    (10-5)/(3-1) = 2.5

    so the angle is arc tan (2.5) ~= 68 degrees

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