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11. Solve the triangle then round the answers to the nearest tenth.С840550A11 ydB

11 Solve The Triangle Then Round The Answers To The Nearest TenthС840550A11 YdB class=

Sagot :

angle A = 41.0 degrees

Side AC = 9.1 yd

Side CB = 7.3 yd

Explanation:

11) angle C = 84 degrees

andle B = 55 degrees

angle A + angle B + angle C = 180 degrees (sum of angles in a triangle)

angle A + 55 + 84 = 180

angle A + 139 = 180

angle A + 139-139 = 180 -139

angle A = 180 -139

angle A = 41 degrees

angle A = 41.0 degrees (nearest tenth)

To find side AC, we apply sine rule

c = AB = 11 yd

AC is the side opposite angle B. It is represented by b in the formula

c/sinC = b/sinB

11/sin84 = b/sin55

b = (11/sin84)(sin55)

b = 11(0.8191)/(0.9945)

b = 9.06

Side AC = b = 9.1 yd (nearest tenth)

To find side CB, we apply sine rule

a = CB

a/sinA = c/sinC

a/sin 41 = 11/sin84

a = (11/sin84)(sin 41)

a = 7.26

Side CB = a = 7.3 yd (nearest tenth)

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