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Question Number 13142 by tawa tawa last updated on 15/May/17

Find the height PQ of a tower of an observant at a point O, 135 m from the  foot of the tower. Determine the angle of elevation of the tower.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{height}\:\mathrm{PQ}\:\mathrm{of}\:\mathrm{a}\:\mathrm{tower}\:\mathrm{of}\:\mathrm{an}\:\mathrm{observant}\:\mathrm{at}\:\mathrm{a}\:\mathrm{point}\:\mathrm{O},\:\mathrm{135}\:\mathrm{m}\:\mathrm{from}\:\mathrm{the} \\ $$$$\mathrm{foot}\:\mathrm{of}\:\mathrm{the}\:\mathrm{tower}.\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{elevation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{tower}. \\ $$

Commented by RasheedSindhi last updated on 15/May/17

One of the two (height of tower  or  angle of elevation) must  be given to  determine other.

$$\mathrm{One}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\:\left(\mathrm{height}\:\mathrm{of}\:\mathrm{tower}\right. \\ $$$$\left.\mathrm{or}\:\:\mathrm{angle}\:\mathrm{of}\:\mathrm{elevation}\right)\:\mathrm{must} \\ $$$$\mathrm{be}\:\mathrm{given}\:\mathrm{to}\:\:\mathrm{determine}\:\mathrm{other}. \\ $$

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