Question

Find each measurement indicated. Round your answers to the nearest tenth. Part 1

Please show the work.​

Answer 1

1. 44.9 cm

2. 19.0 m

3. 45.2 ft

Explanation:

using sine law

1. AC/sin133 = 23/sin22

AC = (23/sin22) × sin133

AC = 44.90346789

2. BC/sin34 = 31/sin114

BC = (31/sin114) × sin34

BC = 18.975498

3. 40.9/sinB = 12/sin15

sinB = 0.8821415787

B = 61.90178977

angle A = 180 - 15 - 61.90178977

A = 103.0982102

BC/sin103.0982102 = 12/sin15

BC = 45.1581782

Answer 2

1. AC=sin(B) *a / sin(A) = sin(133)*23/sin(22) = 44.9 cm

2. a=b^2+c^2−2⋅b⋅c⋅cos(A) =√=18^2+31^2−2*18*31*cos(34) =18.97 = 19 cm

3. a=sin(A)*b/sin(B)=sin(103.10)*40.9/sin(61.9) = 45.2 cm