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Paul [167]
3 years ago
9

In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

\frac{sin(X)}{x}  = \frac{sin(W)}{w}

Plug in:

\frac{sin(68)}{x} = \frac{sin(93)}{520}

The answer when solving for x is the above

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Answer:

\huge\boxed{x \approx 55}

Step-by-step explanation:

We need to note that this is an equation, in which we can solve for x.

tan(39) = \frac{x}{68}

We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.

We now have the formula simplified down to 0.81 = \frac{x}{68}. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.

We know have 0.81 \cdot 68 = x

0.81 \cdot 68 = 55.08 \approx 55, so x is approximately 55.

Hope this helped!

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