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  • A statue 1·6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of

A statue 1·6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.

(Use \sqrt{3}= 1.73)

 

 
 
 
 
 

Answers (1)

 

\\\text { Let height of pedestral be } \mathrm{h} \ \mathrm{m} \\ $In triangle ABD $ \\ \tan 45^{\circ} = \frac{BD}{AB} \\ 1 = \frac{h}{AB} \Rightarrow AB = h \\ \text {In triangle ABC } \\ \tan 60^{\circ}=\frac{BC}{AB} \\ \sqrt{3} =\frac{h+1.6}{h} \\ (\sqrt{3}-1) \mathrm{h}=1.6 \\ h = \frac{1.6}{\sqrt{3}-1}

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Safeer PP

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