EDEXCEL MECHANICS 1 - Gmaths28



Sin rule: asinA=bsinB or sinAa=sinBbIn the ‘ambiguous case of the sin rule’ - There are 2 solutions for a missing angleCos rule: a2=b2+c2-2bccosA can be rearranged to cosA= b2+c2-a22bccosAArea rule: area triangle=12 base ×height =12absinCWB1Sin and cos rules Find the missing sides and angles. Show efficient steps of working WB2Coastguard station B is 8km on a bearing of 060? from coastguard station A. A ship C is 4.8km, on a bearing of 018?, away from A.Calculate the distance from C to BWB3Ambiguous case for sinIn triangle ABC, AB = 4cm, BC = 3cm and angle BAC = 44°. Work out the possible values of angle ACB. -508066675ABC4cm3cm3cmC44°00ABC4cm3cm3cmC44°WB4 An architectural drawing for a roof shows that the left side AB of the roof is 12 m long and at an elevation of 50° from the horizontal ground level.The right hands side BC of the roof is 30 m longCalculate the size of the horizontal beams needed across the base of the roof (side AC)WB5ABCD and CBED are congruent parallelograms where AB?=?BC?=?x?cmP is the point on AF and Q is the point on CD such that BP?=?BQ?=?10Given that angle ABC?=?30°Prove that cos?PBQ?=?1-2-3200x2?WB6 Calculate the area of the triangle shown4.2cm6.8cm75?4.2cm6.8cm75? The area of the triangle shown is 60cm2.Show that x2-3x-240=0 xx - 330°xx - 330°WB7Triangle ABC is such that AC is 4 cm, angle ABC is 57 and angle ACB is 22 Calculate the length of ABFind the area of triangle ABCWB8Triangle ABC is such that AC is 20.6 cm, angle BAC is 71 and angle ABC is 56 show that the length of BC is 23.5 cm Calculate the area of triangle ABC to the nearest cm squareWB9A TV presenter is at point P. A TV camera can move along track EF, which is of length 3.5 m. When the camera is at E the presenter is 2 m away. When the camera is at F the TV presenter is 3.2 m away Calculate in degrees, the size of angle EFP Calculate the shortest possible distance between the camera and the TV presenter WB WB ................
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