Two monitoring stations record the locations of a weather balloon at two successive…

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Two monitoring stations record the locations of a weather balloon at two successive instants: first at P(1.8,\,2.5) and later at Q(6.3,\,5.9). Treating the x–y plane as a horizontal map (units in kilometres): (i) Calculate the slope of the path of the balloon between P and Q. (ii) Determine the angle of inclination made by this path with the positive x-axis, correct to the nearest degree. (iii) Suppose the balloon continues to ascend along the same straight path. Find the point at which the path would intersect the y-axis.

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