b) 29.56 m
c) $$20\sqrt 3 \,{\text{m}}$$
d) $$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$
Answer: a
Explanation:
Angle of Depression = Angle of Elevation
Tower PS = 10 m in height
$$\eqalign{ & {\text{tan}}{45^ \circ } = 1 = \frac{{PS}}{{RS}} \cr & PS = RS = 10 \cr & \tan {30^ \circ } = \frac{1}{{\sqrt 3 }} = \frac{{PS}}{{SQ}} = \frac{{10}}{{SQ}} \cr & SQ = 10\sqrt 3 \cr & RQ = RS + SQ \cr & \,\,\,\,\,\,\,\,\,\,\, = 10 + 10\sqrt 3 \cr & \,\,\,\,\,\,\,\,\,\,\, = 27.32\,{\text{m}} \cr} $$
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