2 years ago

Find the length of side s to the nearest tenth.

Mathematics

1 answer:

bulgar [2K]2 years ago

5 0

Answer:

10.3

Step-by-step explanation:

The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.

The angle at T is ...

180° - 119° -36° = 25°

The law of sines tells us side s will be ...

s/sin(S) = t/sin(T)

s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)

s ≈ 10.34763

s ≈ 10.3

<em>Additional comment</em>

u/sinU = t/sin(T)

u = sin(36°)×5/sin(25°) ≈ 6.95409

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