math

posted by .

I'm not sure how to work this problem out. Find it very confusing and my answer keeps changing. Please help.


From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are 6 degrees and 13 degrees, respectively. The points and the tower are in the same vertical plane and the distance from A to B is 1.1 km. Determine the height of the tower.

  • math -

    make a diagram, label the base of the tower T, and let the height of the tower be h
    let AT=x, then TB = 1.1-x
    in 1st triangle:
    tan6 = h/x ---> h = xtan6
    in 2nd triangle:
    tan 13 = h/(1.1-x) --> h = (1.1-x)tan13

    then xtan6 = 1.1tan13 - xtan13
    xtan6 + xtan13 = 1.1tan13
    x(tan6 - tan13) = 1.1tan13
    x = 1.1tan13/(tan6 + tan13)

    once you found x, sub that into h = xtan6
    to get the height.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are, and , respectively. The points and the tower are in the same vertical …
  2. math

    From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are 6 degrees and 13 degrees, respectively. The points and the tower …
  3. Math

    From an observation tower that overlooks a runway, the angles of depressin of point A, on one side of the runway, and point B, on the opposite side of the runway are, 6degree and 13degree, respectively. The points and the tower are …
  4. Trig

    From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the oppisite side of the runway are 6 degrees and 13 degreess respectivel. The points and the tower …
  5. Trigonometry

    From an observation tower that overlooks a small lake, the angles of depression of point A, on one side of the lake, and point B, on the opposite side of the lake are, 7degrees and 13degrees, respectively. The points and the tower …
  6. Math

    From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are, 6 degrees and 13 degrees, respectively. The points and the tower …
  7. MATH TRIGO-PLSSS ANSWER CLEARLY COZ IM VERY LOW IN

    A TOWER AND A MONUMENT STAND ON A LEVEL PLANE.THE ANGLES OF DEPRESSION OF THE TOP AND BOTTOM OF THE MONUMENT VIEWED FROM THE TOP OF THE TOWER ARE 13DEGREE AND 31 DEGREE,RESPECTIVELY;THE HEIGHT OF THE TOWER IS 145 FT. FIND THE HEIGHT …
  8. Math/Trig

    From an observation tower that overlooks a runway, the angles of depression of point A, on one side of the runway, and point B, on the opposite side of the runway are 6 degrees and 13 degrees respectively. The points and the tower …
  9. Maths

    From a point on a ground the angle of elevation from a tower is observed to be 60 degree. From a point on 40meter vertically above the first point of observation the angle of elevation from a tower is 30degree. Find the height of the …
  10. Math

    The angles of depression of two stones one mile apart on the same side of a tower are 30° and 45° .calculate height of the tower.

More Similar Questions