The length of a flagpole is 12cm. A student stands 50 m from the foot of the flagpole. What is the measure of the angle of elevation from the ground to the top of the flagpole

The angle of elevation is 13.5 degrees approximatelySolution:Given that , The length of a flagpole is 12cmA student stands 50 m from the foot of the flagpole Now, we have to observe that, above situation forms a right angle triangle with base 50 m and height of 12 m.Then, we can apply,[tex]\tan \theta=\frac{\text {opposite side}}{\text {adjacent side}}[/tex]where [tex]\theta[/tex] is angle of elevation and opposite side is height and adjacent side becomes base[tex]\begin{array}{l}{\text { So, } \tan \theta=\frac{12}{50}} \\\\ {\theta=\tan ^{-1}\left(\frac{12}{50}\right)} \\\\ {\theta=13.495}\end{array}[/tex]Hence, the angle of elevation is 13.5 degrees approximately.