In both cases, y and x components are solved and added. The resulting hypotenuse is then computed and its direction calculated.
Airplane:
Ф = 270 - 265 = 5°
Hypotenuse, h = 420 mph
y component = 420 Sin Ф = 420 Sin 5 = 36.61 mph
x component = 420 Cos Ф = 420 Cos 5 = 418.40 mph
Wind
Ф = 270 -210 = 60°
Hypotenuse, h = 30 mph
y component = 30 Sin 60 = 25.98 mph
x component = 30 Cos 60 = 15 mph
Total y = 36.61+25.98 = 62.59 mph
Total x = 418.40+15 = 433.40 mph
Resulting speed of airplane = Sqrt (y^2+x^2) = Sqrt (62.59^2+433.40^2) = 437.9 mph
Direction = 270 -[tan^-1 (y/x)] = 270 -[tan^-1(62.59/433.40)] = 261.78°
Answer:
Just use a calcultor...
Step-by-step explanation:
I think I only know the decimals, for quarters there is three quarters with equals 75 cents so that would be .75 for dime a dime equals ten cents so that would be .10 and for. Nickels 6 nickels equals thirty cents so the decimal would be .30
