Question

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

1) Find AB
47 cm
А
.
C
40°
103
B

Answer 1

A

Explanation:

Find AB using the Law of Sine:

`(AB)/(sin(C)) = (AC)/(sin(B))`

Thus:

`(AB)/(sin(40)) = (47)/(sin(103))`

Multiply both sides by sin(40)

`(AB)/(sin(40))*sin(40) = (47)/(sin(103))*sin(40)`

`AB = (47*Sin(40))/(sin(103))`

AB = 31.0056916 ≈ 31.0 cm (nearest tenth)