Some Applications of Trigonometry Mathematics 10th Test
1. The chapter "Some Applications of Trigonometry" is mainly used to find:
A. Area of circles
B. Heights and distances
C. Probability
D. Statistics
A. Area of circles
B. Heights and distances
C. Probability
D. Statistics
2. Applications of trigonometry are based on:
A. Right-angled triangles
B. Circles
C. Rectangles
D. Polygons
A. Right-angled triangles
B. Circles
C. Rectangles
D. Polygons
3. The angle formed between the horizontal line and the line of sight when looking upward is called:
A. Angle of Depression
B. Angle of Elevation
C. Right Angle
D. Reflex Angle
A. Angle of Depression
B. Angle of Elevation
C. Right Angle
D. Reflex Angle
4. The angle formed when looking downward from an object is called:
A. Angle of Elevation
B. Acute Angle
C. Angle of Depression
D. Obtuse Angle
A. Angle of Elevation
B. Acute Angle
C. Angle of Depression
D. Obtuse Angle
5. The line from the observer's eye to the object is called:
A. Radius
B. Diameter
C. Line of Sight
D. Chord
A. Radius
B. Diameter
C. Line of Sight
D. Chord
6. When a person looks at the top of a building, the angle formed is:
A. Depression
B. Elevation
C. Reflex
D. Straight
A. Depression
B. Elevation
C. Reflex
D. Straight
7. When a person on a tower looks down at a car, the angle formed is:
A. Elevation
B. Right Angle
C. Depression
D. Acute Angle
A. Elevation
B. Right Angle
C. Depression
D. Acute Angle
8. The angle of elevation is always measured:
A. Below the horizontal line
B. From the vertical line
C. Above the horizontal line
D. From the object
A. Below the horizontal line
B. From the vertical line
C. Above the horizontal line
D. From the object
9. The angle of depression is always measured:
A. Above the horizontal line
B. Below the horizontal line
C. From the ground
D. From the object
A. Above the horizontal line
B. Below the horizontal line
C. From the ground
D. From the object
10. To find the height of a tower, we commonly use:
A. Probability
B. Trigonometry
C. Statistics
D. Algebra
A. Probability
B. Trigonometry
C. Statistics
D. Algebra
11. The trigonometric ratio most commonly used for heights and distances is:
A. Sin θ
B. Cos θ
C. Tan θ
D. Sec θ
A. Sin θ
B. Cos θ
C. Tan θ
D. Sec θ
12. If height is known and distance is unknown, which ratio is often used?
A. Tan θ
B. Sin θ
C. Cos θ
D. Cot θ
A. Tan θ
B. Sin θ
C. Cos θ
D. Cot θ
13. If θ = 45°, then tan θ equals:
A. 0
B. 1/√3
C. 1
D. √3
A. 0
B. 1/√3
C. 1
D. √3
14. A ladder leaning against a wall forms a:
A. Circle
B. Right Triangle
C. Rectangle
D. Polygon
A. Circle
B. Right Triangle
C. Rectangle
D. Polygon
15. The height of a building and its shadow can form:
A. Right Triangle
B. Circle
C. Square
D. Trapezium
A. Right Triangle
B. Circle
C. Square
D. Trapezium
16. The shadow of an object is usually considered:
A. Hypotenuse
B. Perpendicular
C. Base
D. Radius
A. Hypotenuse
B. Perpendicular
C. Base
D. Radius
17. The height of an object is generally considered:
A. Base
B. Radius
C. Perpendicular
D. Diameter
A. Base
B. Radius
C. Perpendicular
D. Diameter
18. The distance between observer and object is usually:
A. Hypotenuse
B. Base
C. Radius
D. Chord
A. Hypotenuse
B. Base
C. Radius
D. Chord
19. The angle between the ground and line of sight to the top of a tower is:
A. Depression
B. Elevation
C. Reflex
D. Straight
A. Depression
B. Elevation
C. Reflex
D. Straight
20. If tan θ = 1, then θ =
A. 30°
B. 45°
C. 60°
D. 90°
A. 30°
B. 45°
C. 60°
D. 90°