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valentina_108 [34]
2 years ago
8

1.

Mathematics
1 answer:
Lostsunrise [7]2 years ago
3 0

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:

\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}

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:

\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}

Applying cross multiplication:

h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}

h = 284.77 meters.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

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