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RRB NTPC Geometry and Trigonometry — practice questions — page 3

Explore 94 free Geometry and Trigonometry questions in RRB NTPC Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Geometry and Trigonometry questions and exercises with answers

Showing questions 61–90 of 94.

In a right triangle, sin of an acute angle is the ratio of which two sides?Read the answer and worked solution →Which ratio gives the cosine of an acute angle of a right triangle?Read the answer and worked solution →Sec θ is the reciprocal of which trigonometric ratio?Read the answer and worked solution →What is the value of sin²θ + cos²θ for any angle θ?Read the answer and worked solution →What is the value of sin 30°?Read the answer and worked solution →Each leg of an isosceles right triangle is 1 cm. What is the sine of one acute angle?Read the answer and worked solution →A right triangle has sides 1, √3 and 2. What is the cosine of the angle opposite side 1?Read the answer and worked solution →The sine of the complement of an acute angle θ equals which ratio of θ?Read the answer and worked solution →If sin θ = 3/5 for an acute angle θ, what is tan θ?Read the answer and worked solution →An acute angle has sine 5/13. Find its cosine.Read the answer and worked solution →The cosine of an acute angle is 8/17. What is its sine?Read the answer and worked solution →An acute angle has cosine 0.6. What is the square of its sine?Read the answer and worked solution →The expression 1 − cos²θ is equal to what?Read the answer and worked solution →Subtracting tan²θ from sec²θ always leaves which constant?Read the answer and worked solution →Add the sine of 30° to the cosine of 60°. What results?Read the answer and worked solution →2 sin 30° cos 30° equals which exact value?Read the answer and worked solution →Evaluate one plus the square of tan 45°.Read the answer and worked solution →A 12 m pole casts a 12 m shadow. What is the sun's angle of elevation?Read the answer and worked solution →From 10 m from a tower's base, the top is seen at 60° elevation. How tall is the tower?Read the answer and worked solution →A 10 m ladder leans at 60° to level ground. How high does it reach?Read the answer and worked solution →A 14 m ladder rests at 30° to the ground. At what height does its top touch the wall?Read the answer and worked solution →Using pi = 22/7, find the volume of a cylinder with radius 7 cm and height 10 cm.Read the answer and worked solution →A drum of radius 7 cm and height 5 cm has what curved side area? (pi = 22/7)Read the answer and worked solution →Find the full outer area of a closed can with r = 7 cm and h = 3 cm (pi = 22/7).Read the answer and worked solution →A cylinder's radius is doubled and its height is unchanged. Its volume becomes what?Read the answer and worked solution →Among plane shapes with the same perimeter, which encloses the largest area?Read the answer and worked solution →What geometric shape is the planar region bounded by two concentric circles?Read the answer and worked solution →What total measure in degrees do the two non-right angles of a right triangle add up to?Read the answer and worked solution →When does the sum of two side lengths equal the third side?Read the answer and worked solution →Which line segment connects two points on a circle and divides it into two segments?Read the answer and worked solution →

Worked practice questions

In a right triangle, sin of an acute angle is the ratio of which two sides?

  1. Adjacent to hypotenuse
  2. Opposite to hypotenuse
  3. Opposite to adjacent
  4. Hypotenuse to opposite
Show answer and solution

Correct answer: B. Opposite to hypotenuse

Sine is defined as the side opposite the angle divided by the hypotenuse.

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Which ratio gives the cosine of an acute angle of a right triangle?

  1. Opposite to hypotenuse
  2. Adjacent to opposite
  3. Opposite to adjacent
  4. Adjacent to hypotenuse
Show answer and solution

Correct answer: D. Adjacent to hypotenuse

Cosine is the side adjacent to the angle divided by the hypotenuse.

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Sec θ is the reciprocal of which trigonometric ratio?

  1. cos θ
  2. tan θ
  3. cosec θ
  4. sin θ
Show answer and solution

Correct answer: A. cos θ

Secant is 1 divided by cosine, hypotenuse over adjacent.

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