What is the x co-ordinate where this line intersects the x-axis ?.
Geometry
Level
pending
Refer to the figure above Line AC intersects the X-Axis at (x,0). What is x ?. (Round off to two decimal places)
The answer is -1.34.
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1 solution
AO = AB = 5 , hence Angle OAB = OBA = 45 Degrees.
Since Angle CAB = 60 degrees, angle CAO is 15 degrees, angle ACO is 75 degrees.
Let the equation of the line AC be Y = m*X + C
Since A is a point in AC we get C = 5;
We can calculate m as tan(75) = 3.73205081
As the co-ordinate of C is (x,0) the equation of the line can be written as 0 = 3.73205081* x +5 , solving for x and rounding off to two decimals we get x = -1.34