Principles of Math 11

posted by .

A ranger in fire tower A spots a fire at a bearingof 295 degrees.A ranger in fire tower B located 45 miles at a bearing of 45 degrees from tower A spots the same fire at a bearing of 255 degrees. How far away from tower A is the fire?

  • Principles of Math 11 -

    I have tried to construct a diagram to match the information in your question, but was not able to do so.

  • Principles of Math 11 -

    i need help with chapter 4

  • Principles of Math 11 -

    I have attempted to draw the triangle ABF using your bearing information and the 45 mile distance from A to B (which I call side f). Vertex F is the location of the fire. I get a 30 degree angle at B, 110 at A and 40 at F. The law of sines can be used to obtain the two unknown sides. You are asked for the distance from A to F, which is side b.

    b/sin 30 = 45/sin 40
    b = (0.5000/0.6428)*45 = 35.00 miles

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trig word problem

    A park ranger at point A sights a redwood tree at point B at an angle 23 degrees from a fire tower at point C, From the fire tower, the Angle between the ranger and the tree is 123 degrees. If the ranger at point A is 2.3 miles from …
  2. Math

    Two fire towers, A and B, are 20.3 km apart. From tower A, the bearing of tower B is 70̊. The ranger in each tower observes a fire and radios the bearing of the fire from the tower. The bearing from tower A is 25̊ and from …
  3. Algebra

    A ranger spots a forest fire while on a 45-meter observation tower. The angle of depression from the tower to the fire is 12 degrees. To the nearest meter, how far is the fire from the base of the tower?
  4. Trigonometry (Law of Sine)

    Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire …
  5. Trigonometry (Law of Sine)

    Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire …
  6. Grade 11 Math

    I have two questions two forest fire towers, A and B are 20.3km apart. From tower A, the bearing of tower B is 70 degrees. The ranger in each tower observes a fire and radios the bearing from the tower. the bearing from tower A is …
  7. Geometry Part 2

    A forest ranger spots a fire from a 28- foot tower.The angle of depression from the tower to the fire is 11.To the nearest foot,how far is the fire from the base of the tower?
  8. Functions

    Two forest fire towers, A and B, are 20.3 km apart. From tower A, the bearing of tower B is 70 degrees. The ranger in each tower observes a fire and radios the bearing of the fire form the tower. The bearing from tower A is 25 degrees …
  9. geometry

    a forest ranger spots a fire from 28-foot tower. the angle of depression from the tower to the fire is 11 degre to the nearest foot, how far is the fire from the base of the tower
  10. math

    Two fire towers, A and B, are 20.3 km apart. From tower A, the compass heading for tower B is S80E. The ranger in each tower sees the same forest fire. The heading of the fire from tower A is N50E. The heading of the fire from tower …

More Similar Questions