question_answer

If the length of the shadow of a pole is equal to the height of the pole, then the angle of the elevation of the sun is

A) \[30{}^\circ \]

B)        \[75{}^\circ \]

C) \[60{}^\circ \]

D)        \[45{}^\circ \]  

Correct Answer: D

Solution :

 Let \[AB=h\] be the pole and let \[\angle ACB=\theta \] Let AC be the shadow Hence, by hypothesis, \[CA=h\] From right angled \[\Delta \,BCA,\]                                 \[\tan \theta =\frac{h}{h}=1\] \[\therefore \]  \[\theta ={{45}^{o}}\]