Question

the angle of depression of a point situated at a distance of 70 m from the base of a tower is 60 degree. the height of the tower is..​

Answer 1

$\sf\bold{Answer :}$

• $\tt{h \:=\: 70 \:√3 \:metre}$

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$\sf\bold{Given :}$

• $\tt{Distance\:=70m}$
• $\tt{Base\:of\:a\:tower\:=\:60°}$

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$\sf\bold{Solution :}$

⠀

• $\tt{AB\: = Tower\: =\: h \:metre \:(let)}$
• $\tt{∠DAC\: = \:∠ACB\: =\: 60°}$
• $\tt{BC \:=\: 70 \:metre}$
• $\tt{In\: ∆ABC,}$
• $\tt{tan \:60°\: = }$$\tt\frac{AB}{BC}$

⠀ ⠀ ⠀$\tt{⇒}$$\tt\frac{√3\: \:h}{70}$

⠀ ⠀ ⠀$\tt{⇒\: h \:=\: 70 \:√3 \:metre}$