Sine Rule Textbook Answers

Workout

Question 1:

(a)   6.388cm       (b)   6.651cm       (c)  60.484mm

Question 2:

(a)   8.385cm       (b)   3.381cm        (c)   3.39m

(d)  11.431cm      (e)  24.458cm       (f)   29.471cm

Question 3:

(a)   37.136°          (b)   26.756°        (c)  40.505°

Question 4:

(a)   64°                  (b)   40°               (c)   8.993°

Question 5:

(a)   8.24cm            (b)  19.076°           (c)  5.11mm

(d)   39.732°            (e)   156.869°       (f)  85.83cm

Question 6:

(a)   68.7° or 111.3°       (b)  78.1°  or  101.9°      (c)  48.6°  or  131.4°

Apply

Question 1:   (a)  BD = 22.227cm     (b)  103°     (c)  33.693cm

Question 2:  17.116cm

Question 3:   48.938km

Question 4:   (a)  216.1m     (b)  772.3m

Question 5:   26.558m

Question 6:

Tri 1: DE = 6.2  EF = 7.9 DF = 11.62 Angle DFE = 30° Angle DEF = 110.4° Angle EDF = 39.6°

Tri 2: DE = 6.2  EF = 7.9 DF = 2.06cm Angle DFE = 30° Angle DEF = 9.6° Angle EDF =  140.4° 

Question 7:  73.4m

Question 8:   3.5km/h

Question 9:   24.7244cm

Question 10:   Proof of the Sine Rule