maths

posted by .

A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far is each car from the tower ?

  • maths -

    The 1st(closest) car:
    X1 = Distance from tower.
    A1 = 60o = Angle between X1 and hyp.

    The 2nd car:
    X2 = Dist. bet. the 2 cars.
    X1+X2 = Dist. from 2nd car to tower.
    A2 = 30o = Angle bet. (X1+X2) and hyp.

    tan 60 = 50/X1
    X1 = 50/tan 60 = 28.87 m.

    tan 30 = 50/(X1+X2)
    X1+X2 = 50/tan 30 = 86.60 m.
    28.87 + X2 = 86.60
    X2 = 57.73 m.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trgonometry

    a tower and a monumement stand on a level plane. The angles of depression of the top and bottom of monument as viewed from the top of the tower are 13 degree and 31 degree respectively. If the height of the tower is 145 ft.,find the …
  2. science

    A straight highway leads to the top of the base of a 50 meter tall tower. Frm the top of the tower, if yhe angles of depression of two cars on the road are 30° and 60° , then the distence between the tow cars is ................meter.
  3. science

    A straight highway leads to the top of the base of a 50 meter tall tower. Frm the top of the tower, if yhe angles of depression of two cars on the road are 30° and 60° , then the distence between the tow cars is ................meter.
  4. plane and trigonometry

    a 30 foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. from a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower is …
  5. maths

    A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far …
  6. math

    two points A and B 80 ft. apart lie on the same side of a tower and in a horizontal line through its foot. if the angle of elevation of the top of the tower at A is 21 degree and B is 46 degree, find the height of the tower.
  7. Trigonometry

    A 30foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. From a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower are …
  8. 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 if …
  9. maths

    from a top of a vertical tower the angles of depression of two cars in the same straight line with the base of the tower at an instant are found to Ber 45 degree and 60 degree if the cars are 100 m apart and are on the same side of …
  10. Math trig

    Two towers 50 meters apart from the top of the shorter tower to the top of the taller tower 43 degree elevation, depression from the top of shorter tower to the bottom of the taller tower is 36 degrees what is the height of each tower?

More Similar Questions