Question
From a point 'P' on level ground, the angle of elevation to
the top of a tower 60 metres tall is 45⁰. Calculate the shortest distance from point 'P' to the top of the tower.Solution
ATQ,
Let AB be the height of tower and AP be the shortest distance between points 'A' and 'P'.
In ΔABP,
sin 45° = (AB / AP)
(1/√2) = (60 / AP)
Or, AP = 60√2
Therefore, shortest distance between points 'A' and 'P' is 60√2 metres.
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