A car is traveling on a road that stretches along a north-south line. The bearing of a windmill from the car was measured N 48° E. After traveling 5.2 mi towards the north, another bearing was taken as N 64° E. Calculate the distance between the car and the windmill at the time when the first bearing was measured.

Determine the area of a triangle ABC with the following measurements.

$A=48.5\(\degree\),b=17.8\(\text{ m}\),c=29.3\(\text{ m}\)$

Dianne is going to cut cartons into triangular shapes, which will be used as decorations for a birthday party. Two sides of the triangle have lengths of $12.3~\(\text{cm}\)$ and $15.7~\(\text{cm}\)$. If the angle between these sides is $98^{\(\circ\)}$, what is the area of each triangular carton?

Determine the area of the triangle PQR.

p = 243 m, q = 289 m, r = 310 m