Question
From a point 'P' on level ground, the angle of elevation to
the top of a tower 60 metres tall is 45β°. 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 ΞABP,
sin 45Β° = (AB / AP)
(1/β2) = (60 / AP)
Or, AP = 60β2
Therefore, shortest distance between points 'A' and 'P' is 60β2 metres.
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