(i) The line segment joining A(2,-3) and B(-3, 2) is intercepted by the 𝑥-axis at the point M and the y axis at the point N. PQ is perpendicular to AB produced at R and meets the y- axis at a distance of 6 units from the origin O, as shown in the diagram, at S. Find the:
(a) coordinates of M and N
(b) coordinates of S
(c) slope of AB.
(d) equation of line PQ
(ii) The angle of depression of two ships A and B on opposite sides of a light house of height 100m are respectively 42o and 54o . The line joining the two ships passes through the foot of the lighthouse.
(a) Find the distance between the two ships A and B.
(b) Give your final answer correct to the nearest whole number.
(Use mathematical tables for this question)
Solution
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