Against the wind a commercial airline in south america flew 630 miles in 3.5 hours. with a tailwind the return trip took 3 hours. what was the speed of the plane in still air? what was the speed of the wind?

The speed of plane is , and speed wind is .

Step-by-step explanation:

Given against the wind the airline flew miles in hours.

including the tailwind the return trip took hours.

Let speed of plane is .

Also, speed of the wind is .

Now, we will find speed on each case.

Speed against the wind is  

Speed with the wind is

Now, we will write the equation

Add these equation we get,

Now, plug this value in to get speed of wind

So, the speed of plane in still air is , and speed of the wind is .

what

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92