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9th Class Mathematics Chapter 6 Test9th Class · Mathematics · Federal (FBISE)
Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)
- If a tower is 100 m high and tan θ = 1, horizontal distance from tower is:
- To convert degrees into radians, multiply by:
- Bearing of South is:
- A bearing of 050° means:
- One degree is equal to:
- Angle of elevation and corresponding angle of depression between parallel horizontals are:
- Area of a sector is:
- Reciprocal of sin θ is:
- If cos α = sin θ for acute angles, then α + θ is:
Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)
- Convert in radian. Use π= 3.1416.
- Find value of θ for the following question in the interval .
- Convert in radian. Write the answer in term of π.
- Find radian measure of the central angle of a circular sector for the following data.
- Find the circular measure of the angle between the hour hand and minute hand of a clock at.
- Define line of sight.
- How many minutes are there in one degree?
- Prove the relation by using basic trigonometric identities.
Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)
- The area of a right triangle is 50 cm². One of its angles is 45⁰. Find the lengths of the sides and hypotenuse of the triangle.
- Prove the relation by using basic trigonometric identities.
- Two boats A and B are 5 km apart and the bearing of boat B from A is 250⁰. Draw the diagram showing relative positions of both boats, then find the bearing of boat A from boat B.