Question

a boy is standing on the ground there is a tower opposite to him which is 15 m find the sistance between boy and tower if the angle of elivation is 30 degree​

Answer 1

tan 130⁰ = 15/ x

tan ( 90⁰ +50⁰) = 15/x

cot 50⁰ = 15/x

use value of cot 50⁰ to solve ...

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Answer 2

Answer

since angle C is 30 degree and AB is perpendicular to BC AB:BC=1:$\sqrt{3$

$\frac{AB}{BC} =\frac{1}{\sqrt{3} }$

$\frac{15}{BC} =\frac{1}{\sqrt{3} }$

ie, BC=15$\sqrt{3$