Question

A plane was on route from St Louis to Salt Lake City which is a distance of 1,681 miles in a Westerly direction. However, after takeoff the plane was told to immediately change course by 23° to the South and land in Oklahoma City, Oklahoma which was 464 miles away. After taking care of a mechanical problem, the plane was cleared to leave Oklahoma City and head to Salt Lake City. Assuming the plane can fly an average of 500 MPH how long will it take to get to Salt Lake City? (hint: find length of a)

Answer 1

The plane will take approximately 2.434 hours to get to Salt Lake City.

To find the time it takes for the plane to get to Salt Lake City, we need to calculate the distance it has to travel and divide it by the plane's average speed. First, we need to find the distance from Oklahoma City to Salt Lake City. The distance from St Louis to Salt Lake City is 1,681 miles. Since the plane was 464 miles away from Oklahoma City when it changed course, the remaining distance is 1,681 - 464 = 1,217 miles. Next, we can calculate the time it takes to travel this distance:

Time = Distance / Speed

Time = 1,217 miles / 500 MPH

Time = 2.434 hours