An electric pole is 10m high if it's shadow is 10×√3 in length find the elevation ofthe sum

Mathematics

1 answer:

lianna [129]3 years ago

6 0

First, Look at the attached picture as a reference.

Now, using Pythagoras theorem,

$AC^2=AB^2+BC^2 \\\\AC=\sqrt{AB^2+BC^2 }\\\\AC=\sqrt{10^2+(10\sqrt3)^2}\\\\ AC = \sqrt{100+300}\\\\AC=\sqrt{400}\\\\AC=20~in.$

Now, lets find the elevation of the sun.

 $tan\theta = \frac{AB}{BC} \\\\ tan\theta = \frac{10}{10\sqrt3} \\\\ \theta = tan^{-1} \left(\frac{10}{10\sqrt3}\right) \\\\ \boxed{\theta = 30 \°}$

∴ The elevation of the sun is 30°

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