Trig

posted by .

From a point A on the ground, the angle of elevation to the top of a tall building is 24.1 degrees. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2 degrees. Find the height of the building. PLEASE HELP ME!

  • Trig -

    Get out a piece of paper and draw the situation. You have two right triangles. Each have two points that are the same (the top and bottom of the bulding), but the third points (where the observer is located) are different. Let H be the height of the building, in feet. Point A is X ft away and point B is A - 600 feet away.

    Solve those two simultaneous equations:
    H/X = tan 24.1
    H/(600-X) = tan 30.2

    As a first step in solving them, you can solve for X first, using
    (600-X)/X = tan 30.2/tan 24.1 = 1.3011
    (I used a calculator for that)
    Rewrite as
    780.67 = 2.3011 X
    X = 339.3 ft
    Now use either of the first two equations to solve for H.

  • Trig -

    or

    look at the non-right-angles triangle, with its top angle at the top of the building.
    That top angle can be easily found to be 6.1 degrees. We can find the side coming up from the 30.2 degree angle, call it y
    by sine law
    y/sin24.1 = 600/sin6.1
    y = 2305.56

    then in the small right-angled triangle
    sin 30.2 = H/y
    H = 2305.56sin30.2
    = 1159.74

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-Calculus

    1.The angle of elevation to top of a building from a point on the ground 20degrees and the angle of elevation from a point to 25 feet farther away is 12degrees. Find the height of the building. 2.From a point on the ground, the angle …
  2. Trig

    The angle of elevation to the top of a building from a point on the ground is 39 degrees. From a point 50 feet closer to the building, the angle of elevation is 48 degrees. What is the height of the building?
  3. 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 …
  4. Trig

    A 60-foot flagpole stands on top of a building. From a point on the ground the angle of elevation to the top of the pole is 45 degrees and the angle of elevation to the bottom of the pole is 42 degrees. How high is the building?
  5. Precalculus

    To estimate the height of a building, two students find the angle of elevation from a point (at ground level) down the street from the building to the top of the building is 33 degrees. From a point that is 300 feet closer to the building, …
  6. TRIG WORD PROBLEMS

    from 25 feet away from the base of a building, the angle of elevation from the ground to the top of a building is measured 38 degrees. how tall is the building. WHat i did was put 25 feet on the base of the triangle the angle measurement …
  7. precalc

    The angle of elevation to the top of a building from a point on the ground 20 degrees and the angle of elevation from a point 25 feet farther away is 12 degrees. Find the height of the building. How would I begin to solve this problem?
  8. trig

    From a certain point, the angle of elevation of the top of the building is 38. From a point 75 feet nearer the building, the angle of elevation is 65. Find the height of the building.
  9. trig

    a building 60 feet high. from a distance at point A on the ground, the angle of elevation to the top of the building is 40 degree. from a little nearer at point B, the angle of elevation to the top of the building is 70 degree. What's …
  10. mathd

    From point A,the angle of elevation to the top of a tall building is 20 degrees.On walking 80 m towards the building,the angle of elevation is now 23 degrees.How tall is the building?

More Similar Questions