Using the slope concept, it is found that the base of the mirror will be 1.75 feet from the wall.
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the vertical change is of 7 ft, with an angle of 76º, and the distance is the horizontal distance, hence:
tan(76º) = 7/d
d = 7/tan(76º)
d = 1.75.
More can be learned about the slope concept at https://brainly.com/question/18090623
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