The triangle is a right triangle, so the Pythagorean theorem applies.
It says, for this triangle,
![14.7^2=11.9^2+x^2](https://img.qammunity.org/2021/formulas/mathematics/college/naj1rs0ppsgb5ptgaqr8hqs1sr9rgc215n.png)
Solve for
; you'll find
![x^2=14.7^2-11.9^2](https://img.qammunity.org/2021/formulas/mathematics/college/hp26vvme2lfmxp328ynntlb9l2s2sqkfw5.png)
![x=\pm√(14.7^2-11.9^2)](https://img.qammunity.org/2021/formulas/mathematics/college/hgx7f5ay0u9cb0ostfij08uwp64m3cazfw.png)
(but you omit the negative square root, since
must be a positive length)
Use a calculator to find an approximate value:
![x=√(14.7^2-11.9^2)\approx8.64](https://img.qammunity.org/2021/formulas/mathematics/college/a5cxpgibi2xmt4fe6cm8ef7xnyvfl1ox79.png)
(measured in km)