How to Find the Resultant Velocity of a Plane with a Wind?

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Homework Help Overview

The problem involves determining the resultant velocity of a plane flying north while being affected by an eastward wind. The subject area includes vector addition and trigonometry.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of trigonometric functions to find the angle of the resultant velocity. There is a question about the correctness of the initial angle calculation and the interpretation of the angle's reference point.

Discussion Status

The discussion reflects a mix of confusion regarding the angle calculation and the feedback from a web-based assignment tool. One participant has indicated they resolved their issue by recognizing the need to reference the angle differently.

Contextual Notes

There is mention of a web assignment marking a response as incorrect, which may suggest constraints on how answers are evaluated or presented.

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Homework Statement



Kyle is flying a plane due north at 230 km/h as a wind carries it due east at 56 km/h. Find the magnitude and direction of the plane's resultant velocity analytically.
236.7 km/h (magnitude)
° (direction)


Homework Equations



Tan=opp/adj


The Attempt at a Solution



This should be straightfoward but i guess not?
I tried:
tan^-1 (56/230)=13.7 degrees

Cant seem to figure out why this isn't working it should be straightfoward
 
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I don't see anything wrong. Why do you think it isn't working?
 
My webassign is marking it wrong... i don't see how it is wrong though??!
 
Nevermind I got it they wanted the angle from the other side (76.3). Thanks!
 

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