An airplane is flying in the direction of 145 degrees with an airspeed of 785 kilometers per hour. Because of the wind, its groundspeed and direction are 700 kilometers per hour and 130 degrees, respectively. Find the direction and speed of the wind. photos for reference

3

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: