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olga nikolaevna [1]
3 years ago
10

Find the measure of the label angles below note: you must find y first

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

124°

Step-by-step explanation:

since they are vertical angles, then put them equal to eachother

9y + 7 = 2y + 98

7y = 91

y = 13

9(7)+7= 124

2(13)+98= 124

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<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

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----------------

To sum things up so far, we have these known properties of triangle ABC

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  • side c = side AB = 24 miles
  • angle B = 42 degrees
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Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

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

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

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b = 31.2 miles is the distance from the storm to station A

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