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garik1379 [7]
3 years ago
7

Can anyone help me with this math?

Mathematics
2 answers:
Gelneren [198K]3 years ago
5 0

Answer:

126

Step-by-step explanation:

since b is 54 just subtract 54 from 180 to get a as they are in a sttaight line

Brums [2.3K]3 years ago
3 0

Answer:

∠A = 126°

Step-by-step explanation:

Firstly, we can calculate that ∠B is 54° because opposite angles are the same, and a circle is 360° so let subtract these two angles first:

360 - 54 - 54 = 252

Now, ∠A = ∠B so:

252 ÷ 2 = 126

So ∠A = 126°

Another way of calculating this is simply subtracting 54 from 180° as they are both on a straight line and must add up to 180°:

180 - 54 = 126°

Hope this helps!

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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
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Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

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Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

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Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

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