Everything Maths Grade 10

11 Trigonometry Trigonometry was developed in ancient civilisations to solve practical problems such as building construction an ...

In this diagram is the angle of depression. DEFINITION: Angle of depression The angle of depression is the angle formed by the l ...

Worked example 1: Flying a kite QUESTION Mandla flies a kite on a 17 m string at an inclination of 63°. 1.What is the height,h, ...

Worked example 2: Calculating angles QUESTION ABCDis a trapezium withAB=4 cm,CD=6 cm,BC=5 cm andAD=5 cm. PointEon diagonalAC div ...

Step 5: Calculate the sum of the angles ABC^ =48,6°+58,1°=106,7° Another application is using trigonometry to find the height of ...

Worked example 4: Angles of elevation and depression QUESTION A block of flats is 200 m away from a cellphone tower. Someone sta ...

Worked example 5: Building plan QUESTION Mr Nkosi has a garage at his house and he decides to add a corrugated iron roof to the ...

2.A person stands at pointA, looking up at a bird sitting on the top of a pole (pointB). The height of the pole isxmeters, point ...

End of chapter Exercise 11 – 2: 1.A ladder of length 15 m is resting against a wall, the base of the ladder is 5 m from the wall ...

7.A ladder is 8 metres long. It is leaning against the wall of a house and reaches 6 metres up the wall. a)Draw a sketch of the ...

13.A rhombus has edge lengths of 7 cm. Its acute interior vertex angles are both 70°. Calculate the lengths of both of its diago ...

P Q R S 7,5 cm h 6,2 cm x 90 ◦ 90 ◦^42 ◦ a)FindP R, correct to 2 decimal places. b)Find the size of the angle markedx, correct t ...

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CHAPTER 12 Euclideangeometry 12.1 Proofs and conjectures 404 12.2 Chapter summary 409 ...

12 Euclidean geometry Geometry (from the Greek “geo” = earth and “metria” = measure) arose as the field of knowledge dealing wit ...

In△XAMand△ZCO XAM^ =ZCO^ (given:△CDZ△ABX) AXM^ =CZO^ (proved above) AX =CZ (proved above) )△XAM △ZCO (AAS) )M^ 1 =O^ 1 butM^ 1 ...

P Q R T S (^21) 1 2 4.Study the quadrilateralABCDwith opposite anglesA^=C^= 108◦and anglesB^=D^= 72◦carefully. Fill in the missi ...

Q R S T y 34 ◦ x 41 ◦ b)Find the value ofy. c)Find the value ofx. a)QuadrilateralXW V Uwith sidesXW ∥U VandXU∥W Vis given. Also ...

9.Study the diagram below; it is not necessarily drawn to scale. Two triangles in the figure are congruent: △QRS△QP T. Addition ...

12.2 Chapter summary EMA7J See presentation:2GR2atwww.everythingmaths.co.za A quadrilateral is a closed shape consisting of fou ...