alleryIf tan(theta) = sqrt(3), then theta is
- 30 degrees
- 45 degrees
- 60 degrees
- 90 degrees
Show answer and solution
Correct answer: C. 60 degrees
tan(60) = sqrt(3).
**Standard angle values:** tan 30 = 1/sqrt(3)
tan 45 = 1; tan 60 = sqrt(3).
Agniveer Army Geometry Trigonometry Mensuration — practice questions
Explore 11 free Geometry Trigonometry Mensuration questions in Agniveer Army Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Geometry Trigonometry Mensuration with Quill →Geometry Trigonometry Mensuration questions and exercises with answers
Showing questions 1–11 of 11.
If tan(theta) = sqrt(3), then theta isRead the answer and worked solution →If sec(theta) = 5/4, then tan(theta) isRead the answer and worked solution →From a point 30 m away from the foot of a tower, the angle of elevation of the top is 45 degrees. The height of the tower isRead the answer and worked solution →A pole is broken at a height. The broken part touches ground 10 m from the foot at an angle of 30 degrees with the ground. The original total height of the pole isRead the answer and worked solution →If sin(theta) + cos(theta) = sqrt(2), then sin(theta) isRead the answer and worked solution →The distance between points (3, 4) and (0, 0) isRead the answer and worked solution →If sin(theta) + cos(theta) = sqrt(2) and theta is acute, then theta isRead the answer and worked solution →The midpoint of segment joining (2, 3) and (6, 7) isRead the answer and worked solution →The line 2x + 3y = 12 has y-interceptRead the answer and worked solution →Key in the valueRead the answer and worked solution →Match each trigonometric ratioRead the answer and worked solution →
Worked practice questions
If sec(theta) = 5/4, then tan(theta) is
- 1/4
- 3/4
- 3/5
- 4/5
Show answer and solution
Correct answer: B. 3/4
sec^2 - tan^2 = 1. So tan^2 = 25/16 - 1 = 9/16, tan = 3/4.
From a point 30 m away from the foot of a tower, the angle of elevation of the top is 45 degrees. The height of the tower is
- 15 m
- 30 m
- 45 m
- 60 m
Show answer and solution
Correct answer: B. 30 m
tan(45) = 1 = height / 30. Height = 30 m.
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