Question

Round to the nearest tenth.

Answer 1

the answer is 8.2 units

Explanation:

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Answer 2

8.2 units

Explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

`a^2=b^2+c^2-2bc\cdot cos(A)`

Identify angles and sides

`m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6`

Solve for side "a"

`a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=√(222-168cos(23^\circ))\\ \\a\approx8.2`

Therefore, the length of line segment BC is about 8.2 units