Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A pilot wishes to fly from airport A to airport B. Airport B is located due south from airport A. The pilots aircraft averages a speed of 160 mi/hr. If the pilot is flying in a wind which blows out of the west at a speed of 40 mi/hr, then the pilot should head his plane in the direction of vector ...

Sagot :

onyebuchinnaji

The pilot should head his plane in the direction of vector of 76⁰.

The given parameters;

  • velocity of the plane due south, a =160 mph
  • velocity of the wind west, b = 40 mph

  • Let the direction of the vector = θ

The direction of the vector can be determined by applying the principle of vector addition;

[tex]tan(\theta) = \frac{v_y}{v_x} \\\\\theta = tan^{-1} (\frac{160}{40} )\\\\\theta = 76 \ ^0[/tex]

Thus, the pilot should head his plane in the direction of vector of 76⁰.

Learn more about direction of vector here:https://brainly.com/question/2142917

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.