Answer:
Step-by-step explanation:
The person standing on the bank of river observes that the angle of elevation of the top of a tree standing on
opposite bank is 60c. When he moves 30 m away from the bank, he finds the angle of elevation to be 30c.
Let height= h
tan 60 = [tex]\frac{h}{x}[/tex]
or , [tex]h = x * \sqrt{3}[/tex]
or , [tex]x = \frac{h}{\sqrt{3} }[/tex]
tan 30 = [tex]\frac{h}{x+30}[/tex]
or , [tex]x = \sqrt{3}h - 30[/tex]
[tex]\frac{h}{\sqrt{3} } = \sqrt{3} h - 30\\ \\ or , h = 3 h - 30\sqrt{3} \\\\or , h = 15\sqrt{3}[/tex]
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