Find the value of the triangle x to the nearest tenth

It's
Side B: 30
Side A: unknown
Angle A: 64°

Show Work.

2 answers

We can use the law of sines to solve for the unknown side A. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal to the same ratio for any other side and its opposite angle.

In this case:

sin(A)/A = sin(B)/B

We know that B = 30 and that A is the unknown side. We also know that angle A is 64°.

Plugging in the values:

sin(64°)/A = sin(90°)/30

We can simplify this to:

A = sin(64°) * 30 / sin(90°)

Using a calculator to evaluate sin(64°) and rounding the answer to the nearest tenth, we get:

A ≈ 27.3

Therefore, the value of side A of the triangle is approximately 27.3 units long.
The question cannot be answered since you only gave 2 pieces of information.
The bot assumed there was a right angle, which is not a valid assumption.
Besides, had the triangle been right-angled, there would be no need for
the Sine Law, since basic trig ratios would have suffice.