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Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle , is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:
Now, we will use arctan to solve for theta as:
Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.
Therefore, the opposite side to angle theta is 16.4 feet.