3 years ago

I have no idea what subject this belongs to but.. please help, i will mark brainliest

Mathematics

1 answer:

MakcuM [25]3 years ago

3 0

Answer:

Try Social Studies.

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What is the answer, law of cosine for geometry

Bezzdna [24]

Option B:

BC = 49 feet

Solution:

Given m∠A = 130°,

AB = c = 30 feet

AC = b = 24 feet

BC = a = ?

Law of cosines:

$a^{2}=b^{2}+c^{2}-2 b c \cos A$

Substitute the given values in the formula.

$$a^{2}=24^{2}+30^{2}-2\times 24 \times 30\times \cos 130^\circ$

$$a^{2}=576+900-1440\times (-0.64)$

$$a^{2}=1476+921.6$

$$a^{2}=2397.6$

Taking square root on both sides, we get

a = 48.96

a = 49 feet

BC = 49 feet

Option B is the correct answer.

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