Answered

For all your questions, big or small, IDNLearn.com has the answers you need. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

An airplane pilot flies due north from Ft. Myers to Sarasota, a distance of 150 miles. She then turns N50°E and flies to Orlando, a distance of 100 miles How far is it from Ft. Myers to Orlando? Round to the nearest tenths

Sagot :

115 miles

1) Sketching this to better grasp it we have:

2) Since we could draw the route as a triangle, we can use the Law of Cosines to find out the distance between Fort Myers and Orlando:

[tex]\begin{gathered} a^2=b^2+c^2-2bc\cos (\alpha) \\ x^2=(100)^2+150^2-2(100)(150)\cos (50) \\ x^2=32500-2(100)(150)\cos (50) \\ x^2=13216.37 \\ \sqrt[]{x^2}=\sqrt[]{13216.37} \\ x\approx114.96\approx115 \end{gathered}[/tex]

Note that we rounded off to the nearest tenth(114.9).

3) Hence, the answer is 115 miles

View image GavinnE260911
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.