If two trucks leave a given city on highways making an angle of 132 degrees with one another, traveling at 45 and 55 miles per hour, respectively, what is the distance between the trucks 2 hours later

183 miles to the nearest mile.

Step-by-step explanation:

Distance =Speed X Time

Distance of Truck B from point A=45 X2 =90 miles

Distance of Truck C from point A=55 X2 =110 miles

Angles between them, BAC=132°

We want to find the Distance BC denoted by a between the trucks.

Using Cosine Rule,

a²=b²+c²-2bcCos A

=90²+110²-(2X90X110XCos132°)

=33448.79

a=√33448.79

BC=182.89 miles

The distance between the trucks is 183 miles to the nearest mile.

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96