math

posted by .

a tunnel under a river is 196.8 ft below the surface at its west point. if the angle of depression of the runnel is 4.962 then how far apart on the surface are entrances to the tunnel? how long is tunnel

  • math -

    Assume a V-shaped profile,with the low point in the middle of the tunnel. If the tunnel length is L,
    tan 4.962 = 196.8 ft/(L/2)
    0.08682 *L/2 = 196.8
    Solve for L

  • math -

    4533.51

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Science can you help me

    Praire dogs dig alot of underground tunnel systems called "towns". They come to the surface to eat grasses. Cause all animals need to eat food.One reason prarie dogs dig alot of underground tunnel systems called wonderful "towns" is …
  2. Math

    A tunnel under a river is 196.8 ft below the surface at its lower point. If the angle of depression of the tunnel is 4.962 degrees, then how far apart on the surface are the entrances to the tunnel in feet?
  3. physics

    Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let FR be the magnitude of the gravitational …
  4. physics

    Suppose a spherical planet P has a uniform density of 4.96*10^3 kg/m^3 and a radius R=1904 km. For a parcel that weighs 73 N on the surface of the (spherical) earth, what is A) gp/ge and B) its weight on the surface of P?
  5. physics

    Assume that the Earth is spherical and recall that latitudes range from 0° at the Equator to 90° N at the North Pole. Consider Dubuque, Iowa (42.50° N latitude), and Guatemala City (14.62° N latitude). The two cities lie on approximately …
  6. physics

    Assume that the Earth is spherical and recall that latitudes range from 0° at the Equator to 90° N at the North Pole. Consider Dubuque, Iowa (42.50° N latitude), and Guatemala City (14.62° N latitude). The two cities lie on approximately …
  7. physics

    a train goes into a tunnel at 20m/s and emerges from itat 55m/s. the tunnel is 1500m long.assuming constant acceleration the time for which the train moves in tunnel is
  8. Math

    An igloo approximates a hemisphere, with an entrance tunnel that approximates half a right cylinder. The base of the igloo has diameter 4.0 m. The entrance is 0.8 m long; it has an external radius of 0.8 m and an internal radius of …
  9. Physics

    A projectile is fired with a velocity u at the entrance A to a horizontal tunnel of length L and height H. Determine the minimum value of u and the corresponding value of the angle θ for which the projectile will reach B at the …
  10. math

    The roof of a tunnel is in the shape of a parabolic arch whose highest point is 18m above the road. The road surface is 16m wide. Lights are placed in the tunnel 12 meters high. How far from center of the tunnel are the lights placed?

More Similar Questions