SOME APPLICATIONS OF TRIGONOMETRY Test

SOME APPLICATIONS OF TRIGONOMETRY

This is SOME APPLICATIONS OF TRIGONOMETRY Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The angle of elevation of the top of a tower from two points P and Q at distances of ‘a’ and ‘b’ respectively from the base and in the same straight line with it are complementary. The height of the tower is
  • A
    ab
  • B
    none of these
  • C
    \(2\sqrt {ab} \)
  • D
    \(\sqrt {ab} \)
    Correct
2
The tops of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of \(60^\circ \) with the horizontal, then the length of the wire is
  • A
    16 m
  • B
    12 m
    Correct
  • C
    10 m
  • D
    \(10\sqrt 3 \)m
3
If the shadow of a tower is 30m long, when the sun’s elevation is \(30^\circ \). The length of the shadow, when the sun’s elevation is \(60^\circ \) is
  • A
    \(10\sqrt 3 \)m
  • B
    20 m
  • C
    30 m
  • D
    10 m
    Correct
4
If the angle of depression of a car from a 100m high tower is \(45^\circ \), then the distance of the car from the tower is
  • A
    \(200\sqrt 3 \)m
  • B
    \(100\sqrt 3 \)m
  • C
    100m
    Correct
  • D
    200m
5
If the length of the shadow of a tower is equal to its height, then the angle of elevation of the sun is
  • A
    \(60^\circ \)
  • B
    \(45^\circ \)
    Correct
  • C
    \(30^\circ \)
  • D
    \(75^\circ \)
6
If the height of the tower is \(\sqrt 3 \) times of the length of its shadow, then the angle of elevation of the sun is
  • A
    \(15^\circ \)
  • B
    \(30^\circ \)
  • C
    \(45^\circ \)
  • D
    \(60^\circ \)
    Correct
7
A ladder 12m long rests against a wall. If it reaches the wall at a height of 6\(\sqrt 3 \)m, then the angle of elevation is
  • A
    \(45^\circ \)
  • B
    \(30^\circ \)
  • C
    \(60^\circ \)
    Correct
  • D
    \(75^\circ \)
8
A pole 10m high cast a shadow 10m long on the ground, then the sun’s elevation is
  • A
    \(45^\circ \)
    Correct
  • B
    \(15^\circ \)
  • C
    \(60^\circ \)
  • D
    \(30^\circ \)
9
If altitude of the sun is \(60^\circ \), the height of a tower which casts a shadow of length 30m is
  • A
    15\(\sqrt 3 \)m
  • B
    30\(\sqrt 3 \)m
    Correct
  • C
    20\(\sqrt 3 \)m
  • D
    10\(\sqrt 3 \)m
10
The measure of angle of elevation of the top of a tower 75\(\sqrt 3 \)m high from a point at a distance of 75m from the foot of the tower in a horizontal plane is
  • A
    \(30^\circ \)
  • B
    \(60^\circ \)
    Correct
  • C
    \(60^\circ \)
  • D
    \(15^\circ \)
11
The length of the shadow of a 20m tall pole on the ground when the sun’s elevation is \(45^\circ \) is
  • A
    20m
    Correct
  • B
    20\(\sqrt 3 \)m
  • C
    40m
  • D
    20\(\sqrt 2 \)m
12
A pole 6m high casts a shadow 2\(\sqrt 3 \)m long on the ground, then the sun’s elevation is
  • A
    \(75^\circ \)
  • B
    \(45^\circ \)
  • C
    \(30^\circ \)
  • D
    \(60^\circ \)
    Correct
13
The ___________ of an object can be determined with the help of trigonometric ratios.
  • A
    weight
  • B
    height
    Correct
  • C
    shape
  • D
    none of these
14
The _____________ is the line drawn from the eye of an observer to the point in the object viewed by the observer.
  • A
    line of sight
    Correct
  • B
    angle of elevation
  • C
    none of these
  • D
    angle of depression
15
The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is above the horizontal level.
  • A
    line of sight
  • B
    angle of depression
  • C
    angle of elevation
    Correct
  • D
    none of these