SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Applications of Trigonometry
Question 1
1.
The angles of depression of two boats from the top of a cliff 90 m high are 30° and 60° respectively. Find the distance between the boats, if the boats are on the same side of the cliff .
  • 91.92 m
  • 103.92 m
  • 89.92 m
  • 115.92 m
  • 117.92 m
Question 2
2.
    • A
    • tower
    • stands vertically on the ground.
    • From a point on the ground,
    • the angle of elevation
    • of the top of the
    • tower
    • is found to be
    • 30°
    • .
    • If the distance between the point and the foot of the
    • tower
    • is
    • 150 m
    • ,
    • find the distance between
    • the observation point and the top of the
    • tower
    • .
  • 150

    √

    2
    m
  • 100

    √

    3
    m
  • 300
    m
  • 100

    √

    18
    m
  • 100
    m
Question 3
3.
From the top of a light house which is 85 m high from the sea level, the angles of depression of two ships are 45° and 30°. If one ship is exactly behind the other on the same side of the light house , find the distance between the two ships.
  • 59.21 m
  • 57.21 m
  • 65.21 m
  • 62.21 m
  • 67.21 m
Question 4
4.
The upper part of a tree is broken into two parts without being detatched. It makes an angle of 60° with the ground. The top of the tree touches the ground at a distance of 120 m from the foot of the tree . Find the height of the tree before it was broken.
  • 449.85 m
  • 471.85 m
  • 429.85 m
  • 430.85 m
  • 447.85 m
Question 5
5.
There are two temples one on each bank of a river, just opposite to each other. One of the temples is 80 m high. As observed from the top of this temple, the angles of depression of the top and foot of the other temple are 30° and 60° respectively. Find the height of the other temple.
  • 53.33 m
  • 56.33 m
  • 48.33 m
  • 50.33 m
  • 58.33 m
Question 6
6.
Two boys are on opposite sides of a tower of 160 m height. They measure the angle of elevation of the top of the tower as 60° and 45° respectively. Find the distance between the two boys.
  • (
    −
    2
    −

    √

    3
    )
    m
  • (
    −
    51200
    3
    )
    m
  • (
    160
    3

    √

    3
    +
    160
    )
    m
  • (
    80

    √

    2
    +
    80

    √

    6
    )
    m
  • (
    160
    3

    √

    18
    +
    160

    √

    6
    )
    m
Question 7
7.
    • A
    • radio tower
    • stands vertically on the ground.
    • From a point on the ground,
    • the angle of elevation
    • of the top of the
    • radio tower
    • is found to be
    • 60°
    • .
    • If the height of the
    • radio tower
    • is
    • 110 m
    • ,
    • find the distance between
    • the observation point and the top of the
    • radio tower
    • .
  • 220
    3
    m
  • 220
    3

    √

    18
    m
  • 220
    3

    √

    3
    m
  • 110

    √

    2
    m
  • 220
    m
Question 8
8.
A flag is hoisted at the top of a building . From a point on the ground, the angle of elevation of the top of the flag staff is 60° and the angle of elevation of the top of the building is 30°. If the height of the building is 20 m, find the height of the flag staff .
  • 35.00 m
  • 45.00 m
  • 43.00 m
  • 37.00 m
  • 40.00 m
Question 9
9.
    • A
    • tower
    • stands vertically on the ground.
    • The height of the
    • tower
    • is
    • 160
      m
    • .
    • The distance between the observation point and its foot
    • is
    • 160
      m
    • .
    • Find the angle of elevation.
  • 75°
  • 105°
  • 45°
  • 30°
  • 60°
Question 10
10.
A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards him. If it takes 9 min for the angle of depression to change from 45° to 60°, how soon after this, will the car reach the observation tower?
  • 9 min 14 sec
  • 13 min 18 sec
  • 15 min 20 sec
  • 12 min 17 sec
  • 11 min 16 sec