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Evaluate the value of x to 1 d.p Thank you
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17 votes
17 votes
Evaluate the value of x to 1 d.p


Thank you

Evaluate the value of x to 1 d.p Thank you-example-1
User Kelvin Omereshone
by
2.9k points

1 Answer

15 votes
15 votes

Answer:

value of x = 2.8

Explanation:

By law of cosines,


{a}^(2) = {b}^(2) + {c}^(2) - 2 * b * c * cos(100) \\ {x}^(2) = {13}^(2) + {10}^(2) - (2 * 13 * 10 * cos100) \\ = 169 + 100 - 260 * 0.862 \\ = 269 - 260 * 0.862 \\ = 7.758 \\x = √(7.758 ) \\ = 2.785 \\ = approx \: 2.8

User Dane B
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