SOLUTION: In tracking the relative location of two aircraft, a controller determines that the distance from the control tower to the first aircraft is 140 miles and the distance to the secon

Question 866265: In tracking the relative location of two aircraft, a controller determines that the distance from the control tower to the first aircraft is 140 miles and the distance to the second is 70 miles. The angle between the two aircraft is 40�. How far apart are they? (Round your answer to one decimal place.)
The answer unit is in miles...?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This is NOT drawn to scale:

The control tower is point S, and distances to each plane is shown and labeled. The angle at the point S between the two planes is 40 degrees.

You want the length, c which you will find using Law Of Cosines.
Fitting directly into the formula,

and computations are yours to finish.
RELATED QUESTIONS
A small aircraft pilot flying towards two mountains in foggy conditions wants to map its... (answered by Alan3354)

A small aircraft pilot flying towards two mountains in foggy conditions wants to map its... (answered by ikleyn)

An aircraft is vertically above a point which is 10km West and 15km North of a control... (answered by Alan3354,richwmiller)

an aircraft is vertically above a point which is 10 km west and 15 km north of a control... (answered by Alan3354)

a pilot knows that a second aircraft flying in his formation is 1000 ft away at a bearing (answered by Alan3354)

Jack looks at a clock tower from a distance and determines that the angle of elevation of (answered by jourmimi)

An air traffic control towel at an airport located in flat dessert terrain, the... (answered by stanbon,richwmiller)

An air traffic control towel at an airport located in flat dessert terrain, the... (answered by checkley77)

A small aircraft is traveling from Melbourne to Hobart, a distance of 597 kilometers.... (answered by Theo)