Question

a plane flies 80 km north and 47 km west. what is the bearing from its original position to its new position

Answer 1

Answer:

92.78

Step-by-step explanation:

see this solution

Answer 2

$\large\fbox \red{ Answer }$

Concept :-

Denote point A and B as two different points, where 'La' is point A longitude and 'θa' is point A latitude, similarly assume for point B. Bearing would be measured from North direction i.e 0° bearing means North, 90° bearing is East, 180° bearing is measured to be South, and 270° to be West.

Answer :-

height of the plane in direction north and west :-

80km and 47km respectively.

to find:-

it's bearing from its original position to its new position.

solution :-

As, we know that

In north direction the ( angle of direction) will be 90°

In west direction the ( angle of direction) will be 270°

Now,

let us assume. The two points be,. A and B.

Point A :-

$80 \times\frac{90}{ \cos(a) } \\ \\ 348°$

Point B :-

$47 \times \frac{270}{ \cos(b) } \\ \\ 67km$

$\tiny\tt{ Hope \: this \: will \: help \: you }$

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Your answer is 348° and 67km!!☘️