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Using a trigonometric equation, it is found that it will take 2.28 minutes until the two trains are first equidistant from the child.
<h3>What is the distance of each train to the child?</h3>The distance of the first train is:
The distance of the second train is:
When , hence:
The following substitution is made:
Hence:
Which is a quadratic equation with coefficients , hence:
Then, applying the trigonometric equation, considering that due to the range of the cosine function:
It will take 2.28 minutes until the two trains are first equidistant from the child.
You can learn more about trigonometric equations at brainly.com/question/2088730