Question

Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of plane A is 200 mph and the speed of plane B is 300 mph the two planes are blank miles apart after one hour?

Answer 1

The distance between them is 230.65 miles

Explanation:

Here we use the Cosine formula

`a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2* 200* 300cos50^(\circ)\\\\= 40,000 + 90,000 - 120,000cos50^(\circ)\\\\= 130,000 - 120,000 * 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = √(53,200) \\\\= 230.65\ miles\ per\ hour`

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles