27.9k views
4 votes
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
by
8.6k points

1 Answer

6 votes
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
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories