Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly from A to B mistakenly flies due east at 150 mi/h for 20 min, when he notices his error. 1. How far is the pilot from his destination at the time he notices the error? Round your answer to the nearest mile. 2. What bearing should he head his plane to arrive at airport B? (Round your answer to the nearest degree.)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly from A to B mistakenly flies due east at 150 mi/h for 20 min, when he notices his error.

1. How far is the pilot from his destination at the time he notices the error? Round your answer to the nearest mile.

2. What bearing should he head his plane to arrive at airport B? (Round your answer to the nearest degree.)

Airport B
300 mi
50°
Airport A
Transcribed Image Text:Airport B 300 mi 50° Airport A
Expert Solution
Step 1

Given,

AB = 300 miles

AC = The mistaken distance travelled due East = 150* (20/60) = 50 miles

Angle of AB with the horizontal is 40°.

This forms a triangle ABC

 

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