Question

13-from the top of a 7m high building ,the angle of elevation of the top of a cable tower is 60 degree and the angle of depression of its foot is 45 degree .height of tower is
1- 19.124
2. 18.124
3. 19
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Answer 1

$\huge\mathcal{{\fcolorbox{gold}{gold}{{\color{black}{Answer~~~↓}}}}}$

In ΔABE,

tan 60° = AB / 7

$h= \: AB3   \sqrt{3} - (i) \: </p><p> \\ In ΔABC,</p><p></p><p>$

tan 45° = AB / 7

$\:AB=7 ...(ii) \\ </p><p>By \: equation \: (i) \: and \: equation \: (ii) \\ </p><p>h= 7 \: \sqrt{3} </p><p>$

$\: So, \: height \: of \: tower \: is  \: = \: h+ \: 7 \: =7 \: ( \sqrt{3} \: + 1 \: )$

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