Find the length of BC

Mathematics

1 answer:

Likurg_2 [28]2 years ago

8 0

Answer:

BC = 88.88

Step-by-step explanation:

Comment.

This looks like an example of the cos law.

Givens

AB = 100 m

<A = 60 degrees

AC = 70 m

Cos(60) = 1/2

BC = ?

Formula

BC^2 = AB^2 + AC^2 - 2*AB*AC * Cos(60)

Solution

BC^2 = 100^2 + 70^2 - 2*100*70 * 1/2 1/2 and 2 cancel out

BC^2 = 10000 + 4900 - 7000

BC^2 = 7900 Take the sqr root of both sides

√BC^2 = √7900

BC = 88.88

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