Answer:
D. 16.5 meters.
Step-by-step explanation:
We have been given a diagram and we are asked to find the height of the flagpole.
We can see that if we draw a line from point C to the top of the building, it passes through the top of flagpole.
Since flagpole and building forms two right triangles with a common vertex C, so we will use proportions to solve for the height of flagpole as:
[tex]\frac{\text{The height of flagpole}}{11}=\frac{\text{The height of building}}{45+11}[/tex]
[tex]\frac{\text{The height of flagpole}}{11}=\frac{84}{45+11}[/tex]
[tex]\frac{\text{The height of flagpole}}{11}*11=\frac{84}{56}*11[/tex]
[tex]\text{The height of flagpole}=1.5*11[/tex]
[tex]\text{The height of flagpole}=16.5[/tex]
Therefore, the height of flagpole is 16.5 meters and option D is the correct choice.
