MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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.