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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 7 TestUNIT 7: TRIGONOMETRY

30 marks · 40 minutes · 21 questions. Covers: UNIT 7: TRIGONOMETRY.

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10th Class Mathematics Chapter 7 Test

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. If  then ?

  2. What is true about sec ?

  5. =.......

  7.  is the value of:

  8. In 3rd quadrant:

    1. cot  < 0

    2. sec  > 0

    3. tan  < 0

    4. sin  < 0

  9. Which is true about law of cosines?

  10. If a,b and c are the three sides of a triangle, then S for area is:

    3. 2s=a-b+c

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. The diagram shows a cuboid ABVDEFGH in which , , calculate the size of the angle between  and the plane ABCD. Give your answer correct to 1 decimal place.

  2. What is the formula to find the area of a triangle when two sides and their included angle are given?

  3. A ligthhouse is located on a cliff 80 m above sea level. A ship is spotted at an angle of depression of . How far is the ship from the base of the cliff?

  4. In an isometric game, the camera is placed at a  angle from the ground. If the player is 10 units in front and 10 units above, what is the direct line of sight distance?

  5. Calculate area of the following triangle ABC. 

  6. Calculate area of the following triangle ABC. 

  7. Without using calculator, find the exact values of the following trigonometric function:

  8. Find the signs of the following: 

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. The diagram shows a prism. Trinagle PQR is a cross section of the prism, where  and . Calculate the size of the angle that the line MR makes with the plane RQLN.

  2. The diagram shows 3 places A,B and C. (i) A from C (ii) C from A (iii) C from A (iv) B from C 

  3. An aeroplane departs from an airport and travels 40 km due east, followed by 50 km due north. The pilot then returns to the airport along the shortest possible route. What is the bearing and the distance of the shortest route?