the length of a shadow of a building is 9 m. the distance from the top of the building to the tip of the…

Explanation:

Step1: Apply Pythagorean theorem

Let the height of the building be $h$. According to the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c = 15$ (distance from top of building to tip of shadow), $a=9$ (length of shadow), and $b = h$ (height of building). So $h=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

Substitute $a = 9$ and $c=15$ into the formula: $h=\sqrt{15^{2}-9^{2}}=\sqrt{(15 + 9)(15 - 9)}=\sqrt{24\times6}=\sqrt{144}$.

Step3: Calculate the result

$\sqrt{144}=12$.

Answer:

$12$