The correct answer is

In fact, this is a trinomial of the form

, whose solutions are given by

Using this formula for the trinomial of the problem, we find:

<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
</span>

<span>
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C :) brainiest? This is correct because I did the math lol
The distance across the lake, a is 611 yards
<h3>Right angle triangle:</h3>
Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,
Therefore,
tan 47° = opposite / adjacent
tan 47° = a / 570
cross multiply
a = 570 tan 47°
a = 570 × 1.07236871002
a = 611.250164714
a = 611 yards
learn more on right triangle here: brainly.com/question/18450490