Question

An airplane has a speed of 350 mi/h in still air. It is heading due North but encounters 25 mi/h wind blowing due West. Rounded to the nearest unit what is the result speed and direction of the plane?

Answer 1

@shifuyanli @abb0t

Answer 2

sorry can't help right jow

Answer 3

Draw the vector for the plane only (no wind affecting it)

Answer 4

Now add in the wind blowing west

Answer 5

The resultant vector drawn below is where the plane will actually go



its speed is currently unknown. So x mph

Answer 6

to find x, you use the pythagorean theorem

a^2 + b^2 = c^2

350^2 + 25^2 = x^2

solve for x

Answer 7

This is so complicated... sorry you did good...

Answer 8

what is 350^2 + 25^2 equal to?

Answer 9

123,125 ?

Answer 10

good

Answer 11

so we know x^2 = 123125

Answer 12

what is the value of x itself?

Answer 13

do you know what I mean? or no?

Answer 14

No sorry I have no clue

Answer 15

x^2 means x squared

what is the opposite of squaring?

Answer 16

Um cubing ???

Answer 17

no, square rooting is the opposite of squaring

Answer 18

example:

take the number 5 and square it to get 25

then take the square root of 25 to get back to 5

Answer 19

Ugh I hate math

Answer 20

x^2 = 123125

take the square root of both sides to get x = ???

Answer 21

if you don't have a calculator, you can type

sqrt(123125)

into google and google will spit out the result as an approximate decimal result

Answer 22

ok thank u that helps a lot better haha u shouldve just said that lol

Answer 23

what result did you get?

Answer 24

350.891721190 and even more numbers

Answer 25

that rounds to 351

Answer 26

to find the direction of the plane, you need to find the angle \(\Large \theta\)