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3 years ago

What is the length of AC in the given triangle?

Mathematics

2 answers:

stiv31 [10]3 years ago

7 0

Answer: the answer is 126.6

Step-by-step explanation:

Artemon [7]3 years ago

6 0

Answer:

AC ≈ 126.6

Step-by-step explanation:

The law of sines can be used to find the side length of interest in this triangle. It tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

<h3>missing angle</h3>

In order to use the law of sines, we must have a side length and its opposite angle. Here, the angle opposite the given side is unmarked, so we need to compute it using the angle sum theorem.

A +B +C = 180°

A +85° +53° = 180°

A = 42° . . . . . . . . . . . . . subtract (85°+53°)

<h3>unknown side</h3>

Then side AC can be found from ...

AC/sin(B) = BC/sin(A)

AC = BC·sin(B)/sin(A) = 85·sin(85°)/sin(42°)

AC ≈ 126.547

The closest answer choice is 126.6.

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