Find angle x, giving your answer to 1 decimal place.

57.8 degrees and 122.2 degrees (to one decimal place)

Step-by-step explanation:

Since there are two pairs of angle/side involved, we can use the sine rule.

sin(A)/a = sin(B)/b

where

A = angle x

a = 11cm

B = 38 degrees

b = 8 cm

substitute in the sine rule equation,

sin(A) = sin(x) = sin(38)/8 * 11 = 0.61566 * 11/8 = 0.84653

Now there are two solutions for x where sin(x) = 0.84653, they are supplement angles, namely 57.8367 degrees and 122.1633 degrees.

The reason for the two solutions is because the 8cm side can swing in two positions, one that makes x acute, and the other one obtuse.

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step-by-step explanation: