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. 👁 218
  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

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Isaac and Sakura are both doing a science experiment where they are measuring the temperature of a liquid over time. Graphs that represent each of their data are shown below. mc003-1.jpg mc003-2.jpg Which statement is correct? The

    asked by Samaria on February 27, 2018
  2. College Algebra

    Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t

    asked by Jack on July 9, 2013
  3. math

    a pole of 50m high stand on a building of 250m high to an observer of at a height of 300 m, the building and the pole stands equal angles. what the distance of the obsrever from the top of the pole

    asked by faizan on October 9, 2015
  4. maath

    The accompanying tree diagram represents a two-stage experiment. (Let x = 0.45, y = 0.55, r = 0.65, s = 0.35, t = 0.4, and w = 0.6.) Use the diagram to find the following probabilities. (Round your answers to three decimal

    asked by Diana on October 17, 2012
  1. Trigonometry

    A vertical pole 35m high, standing on sloping ground is braced by a wire which extends from the top of the pole to a point on the ground 25 m from the foot of the pole. If the pole subtends an angle of 30 degrees at the point

    asked by ely on March 20, 2015
  2. Algebra 1

    an electrician charges (f) an initial fee of $20 and then $30 per hour. Which linear equation represents this if (h) represents hours

    asked by Emerald on December 14, 2015
  3. Grade 10 Math

    The Brooklyn Bridge in New York City is a suspension bridge that crosses the East River and connects Brooklyn to the island of Manhattan. If the origin is placed at the top of one of the cable suport towers, as shown, the shape of

    asked by Vanessa on February 3, 2013
  4. algebra

    suppose the polynomial function below represents the power generated by a wind turbine where x represents the wind speed in meters per second and y represents the kilowatts generated interpret f(10) f(x)=0.08x^3+x^2+x+0.26

    asked by lee on November 12, 2012
  1. Math Gr12 (advanced functions)

    A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59m. What obtuse angle does the tower make with the ground?

    asked by Tim on July 16, 2012
  2. Algebra 1

    1. A company is deciding whether or not to hire a new worker. The company must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y = 8x + 25,

    asked by Katherine on March 8, 2016
  3. 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

    asked by Alicia on January 19, 2011
  4. Literature

    If you consider The Call of the Wild to be an allegory, which one of the following statements would be true? A. The book is a story about the need for socialism. B. Judge Miller represents the primordial condition. C. John

    asked by Paul on March 23, 2013

You can view more similar questions or ask a new question.