Pod racing Show work and solve

Question

1. Tonto Pagalies (brother to vaporized racer Teento), an observer at Bindy Bend, is 14285" from Desert Plain. He knows that there is a right angle between the lines of sight from Bindy Bend to Desert Plain and from Desert Plain to Beggar's Canyon. He also observes the angle between Desert Plain and Beggar's Canyon to be 22°18'.

a) Find the line of sight distance from Desert Plain to Beggar's Canyon.

b) Find the line of sight distance from Beggar's Canyon to Bindy Bend.

2. On the map, the distance from Bindy Bend to Mos Espa Arena is 9650', and the lines of sight from Bindy Bend to Beggar's Canyon and from Bindy Bend to Mos Espa Arena make an angle of 112°10',

Find the line of sight distance from Beggar's Canyon to Mos Espa Arena using Law of Cosines.

3. Notice on the map that Mushroom Mesa is on the line of sight from Beggar's Canyon to Mos Espa Arena. Tonto, still sitting at Bindy Bend, observes the angle of sight between Mushroom Mesa and Mos Espa Arena to be 79°. His friend, Mawhonic, -- who crashed at Mushroom Mesa on the first lap -- observes the angle of sight between Mos Espa Arena and Bindy Bend to be 58°16'.

a Find the line of sight distance from Mushroom Mesa to Mos Espa Arena.

b) Find the line of sight distance from Beggar's Canyon to Mushroom Mesa.

c) Find the line of sight distance from Mushroom Mesa to Bindy Bend, using Law of Sines.

4. As the pod racers pass through Devil's Doorknob (flying perpendicular to the ground), they encounter a long straightaway to Mos Espa Arena, across Hutt Flats, a distance of 9286'. On Lap 1, Neva Kee covered this distance in exactly 6 seconds. Find the speed at which Neva Kee was traveling, in miles per hour. (This answer might also explain what happened on lap 2, when he left the circuit, and is still missing!)

Answer 1

Do you have a diagram of the landmarks mentioned?