Question

Two poles are 200 m apart if from the middle of the point the line joining their feet the angle of wlwvation are 30° and 60° find the ratio of tbe height

Answer 1

The ratio of their heights is 1:3.

• Let x and y be the heights of poles.
• From figure,

            tan 30 = $\frac{x}{100}$

              $\frac{1}{\sqrt{3} } = \frac{x}{100}$

                $x = \frac{100}{\sqrt{3}}$ m

         Now,

             tan 60 = $\frac{y}{100}$

              $\sqrt{3} = \frac{y}{100}$

               $y = 100\sqrt{3}$ m

• Now, the ratio of their heights is given by

                  $\frac{x}{y} = \frac{100}{\sqrt{3} } /\frac{100\sqrt{3} }{1}$

                  $\frac{x}{y} = \frac{1}{\sqrt{3} \sqrt{3} }$

                  $\frac{x}{y} = \frac{1}{3}$

             ∴ $x:y = 1:3$

           

Answer 2

Answer:

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Step-by-step explanation:

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