IB Questionbank

(AC² =) 62² + 79² − 2 × 62 × 79 × cos(52°) (M1)(A1)

Note: Award (M1) for substituting in the cosine rule formula, (A1) for correct substitution.

63.7 (63.6708…) (km) (A1) (C3)

[3 marks]

$\frac{1}{2}$ × 62 × 79 × sin(52°) (M1)(A1)

Note: Award (M1) for substituting in the area of triangle formula, (A1) for correct substitution.

1930 km² (1929.83…km²) (A1) (C3)

[3 marks]

Examiners report

Syllabus sections

Topic 5 - Geometry and trigonometry » 5.3 » Use of the sine rule:

\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

$\frac{a}{{\sin A}} = \frac{b}{{\sin B}} = \frac{c}{{\sin C}}$ .

Show 42 related questions

18M.2.sl.TZ2.5c: Giovanni adds a point D to his diagram, such that BD = 45 m, and another triangle is...
18M.2.sl.TZ2.5b: Find the percentage error on Giovanni’s diagram.
18M.2.sl.TZ2.5a.iii: Use Giovanni's diagram to find the length of BX, the horizontal displacement of the Tower.
18M.2.sl.TZ2.5a.ii: Use Giovanni's diagram to calculate the length of AX.
18M.2.sl.TZ2.5a.i: Use Giovanni’s diagram to show that angle ABC, the angle at which the Tower is leaning...
18M.1.sl.TZ2.8a: Calculate the length of side AC in km.
18M.2.sl.TZ1.1f: Calculate the total length of metal required for one support.
18M.2.sl.TZ1.1e: Show that Farmer Brown is incorrect.
18M.2.sl.TZ1.1d: Calculate the length of AE.
18M.2.sl.TZ1.1c: Calculate the length of MN.
18M.2.sl.TZ1.1b: Calculate the total volume of the barn.
18M.2.sl.TZ1.1a: Calculate the area of triangle EAD.
17N.2.sl.TZ0.3d.ii: Find the percentage error in Abdallah’s estimate.
17N.2.sl.TZ0.3d.i: Calculate Abdallah’s estimate for the area.
17N.2.sl.TZ0.3c: Find the area of ABCD.
17N.2.sl.TZ0.3b: Calculate angle ${\rm{B\hat CD}}$ .
17N.2.sl.TZ0.3a: Show that ${\text{BD}} = 93{\text{ m}}$ correct to the nearest metre.
17N.1.sl.TZ0.10c: Find the vertical height of B above the ground.
17N.1.sl.TZ0.10b: Write down the angle of elevation of B from E.
17N.1.sl.TZ0.10a: Find the length of EB.
10N.2.sl.TZ0.3b: Find the size of the angle CAB.
12N.2.sl.TZ0.3b: He next marks a fourth point, D, on the ground at a distance of 6 m from B , such that angle...
12M.1.sl.TZ1.10b: Calculate the size of angle ACB.
12M.1.sl.TZ1.13a: Find the length of AC.
12M.2.sl.TZ2.4f: Ahmed is at point P , a distance x metres from M on horizontal ground, as shown in the...
11N.2.sl.TZ0.3d: Show that the triangle ABC is not right angled.
11N.2.sl.TZ0.3c: Calculate the size of angle BCD.
09N.2.sl.TZ0.1B, c: Inside the forest a second path forms the three sides of another triangle named ABC. Angle...
09M.1.sl.TZ1.10a: Calculate the size of angle ACB.
09M.2.sl.TZ2.3a: Find the size of BĈA.
11M.2.sl.TZ1.5c: Show that the size of angle ABD is ${18.8^ \circ }$ , correct to three significant figures.
13M.2.sl.TZ1.5b: Calculate the length of AQ.
11M.2.sl.TZ2.4b: Calculate the length of AC.
13M.1.sl.TZ2.5a: Find the length of AC in centimetres.
07M.2.sl.TZ0.2ii.a: (i) Find the value of angle ${\text{B}}\hat {\rm T}{\text{L}}$ . (ii) Use triangle BTL to...
07N.1.sl.TZ0.9b: Find the size of angle BAC.
08N.2.sl.TZ0.2b: (i) Write down the size of angle BCA. (ii) Calculate the length of AB.
08M.1.sl.TZ1.7b: Calculate the length of ${\text{AB}}$ .
14M.2.sl.TZ2.2e: The distance from ${\text{B}}$ to ${\text{C}}$ is $850$ metres. Running this part of...
14M.2.sl.TZ1.4a: Find the size of angle $ABC$ .
15M.2.sl.TZ1.4c: It is estimated that the fastest boat in the race can travel at an average speed of...
14N.2.sl.TZ0.4b: The surveyor measures the size of angle ${\text{CDE}}$ to be twice that of angle...

Hide related questions

Date	May 2018	Marks available	3	Reference code	18M.1.sl.TZ2.8
Level	SL only	Paper	1	Time zone	TZ2
Command term	Calculate	Question number	8	Adapted from	N/A

Question

Markscheme

Examiners report

Syllabus sections

View options