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Explanation:
Let x be the reference angle where the question mark is located.
Opposite this angle x is 27. The adjacent side is 38.
Use the tangent ratio to tie the two sides together
tan(angle) = opposite/adjacent
tan(x) = 27/38
x = arctan(27/38)
x = 35.3947958 .... which is approximate
x = 35.4
Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled to help compute this.
We need to determine , or <em>what number multiplied by itself gives 6400</em>?
The reason is because the formula of the area of a square is , or the area is the side squared (multiplied by itself).
The answer is 80.
Therefore, each side of the field is 80 ft.