Question

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Answer 1

14.55'

Explanation:

Cosine rule

c^2 = a^2 + b^2 - 2ab cos(C)

here

a=11

b=23

C = 150°

Substitute in cosine rule,

c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)

= 121 + 529 -2 (11) (23) sqrt(3)/2

=211.791

c = sqrt(211.791)

= 14.55