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In △STU , t = 1.3 inches, u = 3.5 inches and ∠S=159° . Find the length of s, to the nearest tenth of an inch. Responses 2.7

User Magnilex
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1 Answer

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Answer:

s ≈ 6.17

Step by step solved:

To find the length of side s, we can use the law of cosines:

s^2 = t^2 + u^2 - 2tu cos(S)

where S is the angle opposite to side s.

Plugging in the given values, we get:

s^2 = 1.3^2 + 3.5^2 - 2(1.3)(3.5) cos(159°)

s^2 = 14.69 + 12.25 + 11.165

s^2 = 38.105

Taking the square root of both sides, we get:

s ≈ 6.17

Therefore, the length of side s to the nearest tenth of an inch is 6.2 inches.
User Smilingbuddha
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