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maxonik [38]
3 years ago
7

Amanda rides her bike east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are they? Round to the

nearest tenth
Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

4.3\ km

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)

we have

c-----> is the distance between Amanda and Angela

a=10\ km

b=12\ km

C=20\°

substitute the values

c^{2}=10^{2}+12^{2}-2(10)(12)cos(20\°)

c^{2}=18.4738

c=4.3\ km

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