Two trains leave a station on different tracks. The tracks make an angle of 130°, with the station as a vertex. The first train

The first train, let’s call this train A, covers a distance of 100 km. dA = 100 km

The second train, train B, covers a distance of 200 km. dB = 200 km

The Law of Cosine states that:

c^2 = a^2 + b^2 – 2abcos ø

Where a = dA , b = dB, and ø = 130° angle between them

c^2 = 100^2 + 200^2 – 2(100)(200)cos130

Using the calculator:

c^2 = 64691.65

<span>c = 254. 35 km            rounding off:</span>

<span>c = 254 km</span>

<span>Therefore the 2 trains are 254 km apart after their 1st stop.</span>

Answer:

d=275

Step-by-step explanation:

d^2=a^2+b^2-2(a)(c)cos(130)

d^2=100^2+200^2-2(100)(200)cos(130)

d^2= 50,000-(-25711.5)

d^2=75711.5

d=approximately 257