Answer
(a) The drawing of the diagram of the situation is as shown.
(b) The height of the flagpole is $42$ feet.
Work Step by Step
(a) The drawing of the diagram of the situation is as shown.
(b) Using the proportion:
$$\frac{h}{5+30}=\frac{6}{5}$$
$$\frac{h}{35}=\frac{6}{5}$$
$$h=\frac{6(35)}{5}=42$$
Thus, the height of the flagpole is $42$ feet.