Question

An adventure company wants to run a zipline from the top of one building that's 130 ft tall to to the top of another building that is 30 ft tall. The two buildings are 72 ft apart. Estimate the length (in feet) of the zip line. Round your answer to the nearest tenth.

Answer 1

$We\text{ will graph the situation}$$\begin{gathered} By\text{ pythagoras theorem} \\ \\ 72^2+100^2=z^2 \\ 5184+10000=z^2 \\ 15184=z^2 \\ z=\sqrt[]{15184} \\ z=123.2233 \\ \\ \text{Thus the length of the zip line is about 123.2ft} \end{gathered}$