Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.
<h3>What is the law of sines?</h3>
Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:

For the situation described, we have that:
- The height is opposite to the angle of 42º.
- The 425 meters are opposite to the angle of 87º.
Hence:

Applying cross multiplication:

h = 284.77 meters.
More can be learned about the law of sines at brainly.com/question/25535771
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Answer:
4, 22 See below
Step-by-step explanation:
2x + y = 30
5x + y = 42
Subtract the first from the second
3x = 12
x = 4 so socks cost $4
Put that into one of the original equations
2x + y = 30
2(4) + y = 30
8 + y = 30
y = 22 slippers cost $22