Question

51 feet
24 feet

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, $a = 24$, $c = 51$, and we need to find $b$.

Step2: Substitute values

$$24^{2}+b^{2}=51^{2}$$
$$576 + b^{2}=2601$$

Step3: Solve for $b^{2}$

$$b^{2}=2601 - 576$$
$$b^{2}=2025$$

Step4: Find $b$

$$b=\sqrt{2025}$$
$$b = 45$$

Answer:

The height of the flagpole is $45$ feet.