posted by .

From a point 45 meters above level ground, a surveyor measures the angle of depression of an object on the ground at 68°. Approximate the distance from the object to the point on the ground directly beneath the surveyor. (Round your answer to two decimal places.)

  • trig -

    Hint: tan = height/width

  • trig -

    ok, would you be able to set up for me?

  • trig -


  • trig -

    Well, draw a triangle! I mean, they only gave you two pieces of information. Can't see any way to use it?

    At the top of the cliff is point A. At the bottom of the cliff is point B. AB = 45m. Somewhere out along the ground is point C.

    Now, angle BAC is 68deg.
    BC/45 = tan(68)
    BC = 45 tan(68) = 45 * 2.475 = 111.38m

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    from an airplane flying 7000 feet above the ground the angle of depression to the base of the control tower is 19 degrees. find the distance from a point on the ground directly beneath the airplane to the control tower.
  2. Math ( Surveying )

    Need help with this problem! Thanks in advance. The ground clearance of an overhead electrical cable must be determined. Surveyor B is positioned directly under the cable (surveyor B can make a position check by sighting past the string …
  3. I NEED HELP!!!!!MATH!!!

    A person flying a kite holds the string 4 feet above ground level. The string of the kite is taut and makes an angle of 60° with the horizontal (see the figure). Approximate the height of the kite above level ground if 700 feet of …
  4. math-TRIG

    1. Which angle measure is consistent with all of the following criteria?
  5. trig-math

    4. A carpenter wants to be sure that the corner of a building is square and measures 6.0 ft and 8.0 ft along the sides. How long should the diagonal be?
  6. Pre-Cal/Trig

    Explain how to solve the following question. Surveying: From a point A hat is 10 meters above level ground, the angle of elevation of the top of a building is 42 degrees and the angle of depression of the base of the building is 8 …
  7. Trig

    From a certain distance from the base of a Giant Sequoia tree a surveyor determines that the angle of elevation to the top of the tree is 47deg. The surveyor then walks 100 feet away from the tree and determines that the angle of elevation …
  8. geometry

    a surveyor on level ground finds the angle of elevation of a 138-foot flagpole to be 47 degrees how far from the base of the pole is the surveyor?
  9. Spherical Trigonometry

    *Approximate the angle of elevation of the sun if a box 5 meters tall casts a shadow 4 meters long on level ground. *As a weather ballon rises vertically its angle of elevation from a point P on the level ground 110km.from the point …
  10. Math

    1) A television tower is 160 feet high and an observer is 120 feet from the base of the tower. Find, to the nearest degree, the angle of elevation of the top of the tower from the point of observation. 2) A vertical pole 22 meters …

More Similar Questions