math

posted by .

From a mountain 1780 ft. high, the angle of depression of a point on the nearer shore of a river is 48 degrees 40 minutes and of a point directly across on the opposite side is 22 degrees 20 minutes. What is the width of the river between the two points?

  • math - incomplete -

    If you draw a diagram, you will see that you cannot compute the width of the river without knowing how far the river is from the mountain.

  • math -

    If we assume that the river is at the same elevation of the base of the mountain, then
    Width of the river
    =distance of far shore - distance of near shore
    =1780/tan(θ2)-1780/tan(θ1)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trigonometry

    From a mountain 1780 ft. high, the angle of depression of a point on the nearer shore of a river is 48deg40mins and of point directly across on the opposite side is 22deg20mins. What is the width of the river between the two points?
  2. Physics

    A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 60.0 m downstream from the point directly across the river, 80.0 m wide. What is the speed of the river current?
  3. physics

    A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 52.0 m downstream from the point directly across the river, 72.0 m wide. What is the speed of the river current?
  4. Physics

    A swimmer heads directly across a river, swimming at 1.9 m/s relative to the water. She arrives at a point 50 m downstream from the point directly across the river, which is 79 m wide. (a) What is the speed of the river current?
  5. physics

    A swimmer heads directly across a river, swimming at 1.2 m/s relative to the water. She arrives at a point 48 m downstream from the point directly across the river, which is 77 m wide. (a) What is the speed of the river current?
  6. Physics Dynamics

    Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 35 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current …
  7. Trigonometry

    4. An observer is near a river and wants to calculate the distance across the river. He measures the angle between his observations of two points on the shore, one on his side and one on the other side, to be 28ยบ. The distance between …
  8. Physics

    A boat moving at 9.5 km/hr relative to the water is crossing a river 3.9 km wide in which the current is flowing at 4.9 km/hr. At what angle upstream should the boat head to reach a point on the other shore directly opposite the starting …
  9. Physics

    Swimming at 3.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 50 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current …
  10. math

    A plane is flying at a constant altitude and speed of 500km/hr. At a certain point, the angle of depression from the airplane to a lighthouse on an island in the distance is 6 degrees. After 12 minutes, as the plane continues to approach …

More Similar Questions