Answer:
30.7 km
Step-by-step explanation:
The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...
c = √(a² +b² -2ab·cos(C))
The angle measured between the two fires is ...
180° -(69° -35°) = 146°
and the distance is ...
c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015
c ≈ 30.74
The straight-line distance between the two fires is about 30.7 km.
Answer:
Radius of the circle is <em>15 inches.</em>
<em></em>
Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
where is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:
We know that
Converting to radians:
radians
Putting the values of and
to find the value of
Hence, Radius of the circle is <em>15 inches.</em>