Posted by **Jessica** on Wednesday, April 13, 2011 at 12:33am.

A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 48 mi/h, how far is it from its starting position? Round your answer to 2 decimal places.

- Math -
**Henry**, Friday, April 15, 2011 at 10:11pm
d1 = 45m/h * 1h = 45mi @ 0 deg.

d2 = 45m/h * 0.5h = 22.5mi @ 45deg.

X = hor. = 45 + 22.5cos45 = 60.91mi.

Y = ver. = 22.5sin45 = 15.91mi.

d^2 = X^2 + Y^2,

d^2 = (60.91)^2 + (15.91)^2 = 3963.16,

d = 62.95mi.

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