For this case we have the following data:
So that the figure can be a rectangle, its diagonals must be equal, that is,
In this way we have:
Clearing x we have:
Thus, x must be equal to 10 so that the figure is a rectangle.
Answer:
Option A
What is the volume of the prism shown?
1 answer:
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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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