Q:

PLEASE HELP QUICKLY I NEED TO HAND IT IN BY 7:30 THANKS!!!

Accepted Solution

A:
Answer:Solved belowStep-by-step explanation:Q1) Hypotenuse² = a² + b²Hypotenuse is side opposite to 90 degreesSide AC is opposite to angle BAC² = AB² + BC²3.2² = 2.6² + BC²BC = √3.48BC = 1.87 cmQ2 a) Use sin rule to calculate Cb/sin B = c/sin C30/sin 60 = 25.2/sin Csin C =21√3/50Angle C = 46.7°To find angle Aall 3 angles of a triangle are equal to 180°A + B + C = 180°A + 60 + 46.7 = 180°Angle A = 73.3°Use sin rule to find side BCa/sin A = b/sin Ba/sin 73.3 = 30/sin 60a = 33.2Q2 b) Use sin rule to find angle Ef/sin F = e/sin E62/sin 50 = 80/sin EE = 81.3°All 3 angles of a triangle are equal to 180 degrees.D + E + F = 180°D + 81.3 + 50 = 180°Angle D = 48.7°Use sin rule to calculate EFf/sin F = d/sin D62/ sin 50 = d/ sin 48.7d = 60.8°Q2 c) Use sin rule to find angle Nn/sin N = l/sin L6.9/sin N = 3.4/sin 31sin N = 6.9/3.4 * sin 31N = sin inverse (1.045)Math error!Qb) Angle A can be found through the cosine ruleAngle A = cos inverse (a²+b²-c²/2ab)Angle A = cos inverse (21.2²+11.6²-28.1²/2*21.2*11.6)Angle A = 114.7°Find angle B with sin rulea/sin A = b/in B21.2/sin 114.7 = 11.6/sin Bsin B = 21.2/sin 114.7 * 11.6B = sin inverse (0.497)B = 29.8°All three angles of a triangle are equal to 180°A+B+C = 180°114.7+29.8+C=180°C=35.5°Q3) Find angle T through sine rulet/sin T = r/sin R4/sin T = 4.7/sin 57T = 45.5°All three angles of a triangle are equal to 180 degrees.R + S + T = 180 degrees57 + S + 45.4 = 180S = 77.6°RT can be found through sin rules/sin S = r/sin Rs/sin 77.6 = 4.7/sin 57s = 5.5mQ4) Angle A will be 33 degree.BC will be 200 mCD will be 384 mAD can be found through the formula of sinsin (angle) = opposite/hypotenusesin (33) = 384/ADAD = 705.05 m!!