On a map, the north carolina cities of raleigh, durham, and chapel hill form a triangle, as shown below. what are the approximate values of the missing measures on the map?

The approximate values are:

c = 55.2°

r = 22.8°

x = 9.9 miles

- To find angle , we are using the rule of sines:

For our triangle and

Replacing the values we get:

We can pick up two suited values to find :

- Now that we have angle , we can use the angle sum theorem to find angle .

The angle sum theorem states the the interior angles of a triangle add up to 180°, so:

- Now that we have angle , we can use the rule of sines, one more time, to find side

1) r=23° , c=55° , x=10°

Step-by-step explanation:

correct on edge 2020