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Read the problem carefully, the solution and the answer is given. Just simply explain how you got the solution and answer.​

Read the problem carefully the solution and the answer is given Just simply explain how you got the solution and answer class=


Answer :

mhanifa

See below

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You have a problem and its solution, and you need explanation how the solution worked.

In this problem we are given a triangle with two known angles and one side opposite to one of those angles, and we need to find the length of the unknown side opposite to the second known angle.

In such problems we use the Law of Sines, which is:

  • a/sin A = b/sin B = c/ sin C,

where, A, B, C are vertices of the triangle and a, b, c are opposite sides of the vertices.

In our case a = BC (opposite to angle A) and b = AC (opposite to angle B), A = 68° and B = 33°.

For now you may forget about x = BC, however you may use x instead of a.

By applying the Law of Sines, we set up the following equation:

  • a / sin A = b/ sin B

Next, we substitute the values of A = 68°, B = 33° and b = 8:

  • a/ sin 68° = 8/ sin 33°

Now, multiply both sides by sin 68° and use calculator to find the value of a:

  • a = 8 * sin 68° / sin 33°
  • a = 13.6190584216
  • a = 13.62 (rounded)

This is your solution. Please ask if anything is unclear.