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

Question

3 years ago

7

nearest tenth

1 answer:

Arada [10] · Answer 1 · 2022-03-29T04:08:57+03:00

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

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

$c^{2}=18.4738$

$c=4.3\ km$