Question

A lamp post 5 root 3 high casts a shadow 5 m long on the ground the sun's elevation at this point is

Answer 1

the angle of elevation is 60°

Answer 2

$Height \:of \:the \: lamp \:post (AB) = 5\sqrt{3}\:m$

$Length \:of \: the \: shadow (BC) = 5 \:m$

$Let \: angle \:of \: elevation = \theta$

$In \: \triangle \: ABC , \angle {ABC} = 90\degree$

$tan \theta = \frac{AB}{CB}$

$\implies tan \theta = \frac{5\sqrt{3}}{5}$

$\implies tan \theta = \sqrt{3}$

$\implies tan \theta = tan 60\degree$

$\implies \theta = 60\degree$

Therefore.,

$\red { Sun's \: elevation } \green { = 60\degree }$

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