Q134 · Practice questionTechnology-activeComplex familiar4 marks
QUESTION 134 (4 marks)
Two observation points and lie on level ground on the same straight line with the base of a vertical tower, with m closer to the tower than . The angles of elevation to the top are from and from . Determine the height of the tower to the nearest metre.
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
Approximately m.
Worked solution
Let the horizontal distance from to the tower be . Then . Solving gives m and m, so the height is about m.
Defines a suitable horizontal distance.
Forms two tangent relationships.
Solves for the distance or height.
States the tower height to the requested accuracy.
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