Question

Part A How tall is the building? Round your answer to the nearest tenth.

Answer 1

Check the picture below.

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=√(c^2 - a^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{20}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=√( 20^2 - 10^2)\implies h=√( 400 - 100 ) \implies h=√( 300 )\implies h\approx 17.3~ft`