A plane is flying at a speed of 330 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the groundspeed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind.The speed of the wind ismiles per hour.(Do not round until the final answer. Then round to the nearest tenth as needed.)The direction angle of the wind is.(Do not round until the final answer. Then round to the nearest tenth as needed.)

Given Flying speed of plane=330 miles per hour. Ground speed of plane=390 miles per hour Direction…

Answered: A plane is flying at a speed of 330…

Math

Trigonometry

A plane is flying at a speed of 330 miles per hour or

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.1: Law Of Sines

Problem 46E: A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given...

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Question

A plane is flying at a speed of 330 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground
speed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind.
The speed of the wind is
miles per hour.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The direction angle of the wind is.
(Do not round until the final answer. Then round to the nearest tenth as needed.)

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A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given time, the bearing to a lighthouse is S70E, and 15 minutes later the bearing is S63E (see figure). The lighthouse is located at the shoreline. What is the distance from the boat to the shoreline?

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