Class 10 Maths Chapter 7 Notes

Important full class 10 maths chapter 7 notes in Mathematics Urdu Medium by Mr. Tasneem Haider. These computerized notes are very helpful in the preparation of class 10 maths chapter 7 notes for students of the Mathematics and these are according to the paper patterns of all Punjab boards.

• Important math class 10 chapter 7 notes for all students of Punjab  Textbook Board.
• Multiple Choice Questions. Four possible answers are given for the following questions. Tick (✔) the correct answer.
• (i). The union of two non-collinear rays, which have common end point is called:  (a) an angle  (b) a degree  (c) a minute  (d) a radian
• Important maths class 10 notes chapter 7 for all students of Punjab  Textbook Board.
• (ii). The system of measurement in which the angle is measured in radians is called:  (a) CGS system  (c) MKS system  (b) sexagesimal system  (d) circular system
• (iii). 20° = ?   (a) 360'  (b) 630'  (c) 1200′  (d) 3600'
• Important class 10th maths chapter 7 notes for all students of Punjab  Textbook Board.
• (iv). 3π / 4 radians = ?   (a) 115°  (b) 135°  (c) 150°  (d) 30°
• (v). If tan θ = √3, then θ is equal to:  (a) 90°  (b) 45°  (c) 60°  (d) 30°
• Write short answers of the following questions.
• (i). Define an angle.
• Important class 10 maths notes chapter 7 for all students of Punjab  Textbook Board.
• (ii). What is the sexagesimal system of measurement of angles?
• (iii). How many minutes are there in two right angles?
• (iv). Define radian measure of an angle.
• (v). Convert π / 4 radians to degree measure.
• (vi). Convert 15º to radians.
• Important class 10 maths chapter 7 notes pdf download for all students of Punjab  Textbook Board.
• (vii). What is radian measure of the central angle of an arc 50m long on the circle of radius 25m?
• (viii). Find r when l = 56 cm and θ = 45°
• (ix). Find tan θ when cos θ = 9 / 41 and terminal side of the angle θ is in fourth quadrant.
• (x). Prove that ( 1 - sin² θ ) ( 1 + tan² θ ) = 1
• 1. Find the angle of elevation of the sun if a 6 feet man casts a 3.5 feet shadow.
• 2. A tree casts a 40 meter shadow when the angle of elevation of the sun is 25°. Find the height of the tree.
• 3. A 20 feet long ladder is leaning against a wall. The bottom of the ladder is 5 feet from the base of the wall. Find the acute angle (angle of elevation) the ladder makes with the ground.
• 4. The base of a rectangle is 25 feet and the height of the rectangle is 13 feet. Find the angle that the diagonal of the rectangle makes with the base.
• 5. A rocket is launched and climbs at a constant angle of 80º. Find the altitude of the rocket after it travels 5000 meter.
• 6. An aeroplane pilot flying at an altitude of 4000m wishes to make an approach to an airport at an angle of 50° with the horizontal. How far from the airport will the plane be when the pilot begins to descend?
• 7. A guy wire (supporting wire) runs from the middle of a utility pole to the ground. The wire makes an angle of 78.2° with the ground and touches the ground 3 meters from the base of the pole. Find the height of the pole.
• 8. A road is inclined at an angle 5.7º. Suppose that we drive 2 miles up this road starting from sea level. How high above sea level are we?