Question

question 9
an airplane flew north out of miami on a flight to baltimore. after 887 miles of flight, the pilot turned 25° to the east to avoid the no - fly zone over washington, d.c. he flew on that bearing for 28 miles before turning back to the west and flying into baltimore. the entire flight covered 956 miles.
answer each question below. round your answers to the nearest whole number.
how far did the plan fly after it turned back toward baltimore?
miles
how many total miles would the flight have been if the pilot had stayed on course, without detouring to avoid the no - fly zone?
miles
how many degrees did the pilot turn to the west to get back on course for baltimore?
degrees

Explanation:

Step1: Find distance flown back to Baltimore

Let the distance flown back to Baltimore be $x$. The total distance of the flight is the sum of the three - part journey. So, $887 + 28+x=956$.
Solve for $x$: $x=956-(887 + 28)=956 - 915=41$ miles.

Step2: Find non - detoured distance

The non - detoured distance is the sum of the first part of the journey and the distance flown back to Baltimore if there was no detour. Since the detour was 28 miles, the non - detoured distance $d=956 - 28=928$ miles.

Step3: Find the angle of turn to the west

The pilot turned 25° to the east. To get back on the original course, the pilot needs to turn 25° to the west.

Answer:

How far did the plan fly after it turned back toward Baltimore? 41 miles
How many total miles would the flight have been if the pilot had stayed on course, without detouring to avoid the no - fly zone? 928 miles
How many degrees did the pilot turn to the west to get back on course for Baltimore? 25 degrees