TRIGONOMETRY AND BEARING

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1. A triangle has sides 3, 4, and 5. What is the sine of the angle opposite the side of length 3?

A 3/5

B 4/5

C 3/4

D 4/3

2. What is the radius of a circle if its sector has an arc length of 15 cm and a central angle of 3 radians?

A 5 cm

B 45 cm

C 3 cm

D 10 cm

3. What is the angle of depression if a person looks down from a height to an object on the ground?

A The angle between the line of sight and the horizontal

B The angle between the vertical and the line of sight

C The angle at the object

D The angle at the observer's feet

4. What is the value of sin 45°?

A √2/2

B 1/2

C √3/2

D 1

5. What is the sector angle of a circle if the arc length is 10 cm and the radius is 5 cm?

A 2 radians

B 0.5 radians

C 50 radians

D 15 radians

6. If θ = 60°, what is tan θ?

A √3

B 1/√3

C √3/2

D 1/2

7. If sin θ = 3/5, what is the value of cos θ?

A 4/5

B 3/4

C 5/3

D 4/3

8. If the sector angle is 120° and radius is 9 cm, what is the arc length?

A 6π cm

B 3π cm

C 12π cm

D 18π cm

9. What is the reciprocal of sin θ?

A cosec θ

B sec θ

C cot θ

D cos θ

10. In a right-angled triangle, if the opposite side is 6 and the adjacent side is 8, what is tan θ?

A 3/4

B 4/3

C 3/5

D 5/4

TRIGONOMETRY AND BEARING

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