In the given diagram,AB represents a vertical pole and CD represents a 40 m high tower both of which are standing on the same horizontal plane.From the top of the tower,the angles of depression of the top and the foot of the pole are 24 degrees,30 inches and 48 degrees,30 inches respectively.calculate
(i) the horizontal distance between the pole and the tower
(ii) the height of the pole

  1. 0
  2. 0
  3. 2
asked by kavita
  1. Tough to figure out from the "non-given" diagram.
    let DB, the horizontal distance be x.
    angle ADB = 48 degrees, 30 minutes (not inches!)
    = 48.5°
    so tan 48.5 = 40/x
    x = 40/tan48.5 = 35.39 m

    from C, draw a horizontal to meet AB at E
    tan 24.5 = AE/x
    AE = xtan24.5 = 16.13 m

    so height of pole = BE = 40-16.128 = 23.87 m

    1. 0
    2. 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A woman wants to measure the height of a nearby tower. She places a pole in the shadow of the tower so that the shadow of the pole is exactly covered by the shadow of the tower. The distance between the pole and the tower is , and
  2. maths

    Q vertical pole and a tower are on the same level Ground.from the top of the pole angle of elevation of the top of the tower is 60 degree and the angle of depression od foot of the tower is 30 degree.find the height of the tower
  3. physics

    if the rolling ball represents the running vaulter and the ruler represents the pole in the model, how does the amount of bend in the pole depend on the vaulters running speed? record your data and response in your log.
  4. Math

    A sandwich shop sells a foot-long grinder for $8 and a calzone for $6. Which equation shows the relationship between the amount of each type of product sold and the total sales, in dollars? A. 14(x + y) = z; x represents calzones
  5. physics

    Assume that the Grand Bahama Island lies at the origin of the coordinate system shown in the diagram at below. Vector represents the hurricane's displacement at 44.5 km/h and vector represents its displacement after it shifts
  6. precallcuslus

    can you check my work and explain the last question because I do not uderstand. Explain what each of the following represents, and how y = a(x - h)2 + k, a ≠ 0 and (x - h)2 = 4p(y - k), p ≠ 0 are equivalent. The equation (x -
  7. maths

    from the top of a tower, the angle of depression of a boat is 30degree,if the toweR is20meter high how far is th boat from the foot of the tower witha diagram
  8. trig

    On an inclined road, which makes an angle of 25 degrees with the horizontal plane, stands a vertical tower. At a point Q, 150 ft from the base of the tower down the road, the angle of elevation to the top of the tower is 65. How
  9. Math

    5. The Leaning Tower of Pisa leans toward the south at an angle of 5.5 degrees. One day near noon its shadow was measured to be 84.02m long and the angle of elevation from the tip of the shadow to the following, assume that the
  10. precalculs

    Explain what each of the following represents, and how equations (a) and (b) are equivalent. (a) y = a(x - h)2 + k, a ≠ 0 (b) (x - h)2 = 4p(y - k), p ≠ 0 (c) (y - k)2 = 4p(x - h), p ≠ 0 can you check my work and explain how

More Similar Questions