The length of a rectangular pool is 4yds longer than twice the width. If the area is 70 square yards, find the dimensions.
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Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or , and cotangent is the reciprocal of this, meaning that it is "x/y" or
.
That means that we are now given this equation.
That'll multiply to:
We'll want a common denominator to add by multiplying to both top and bottom of the second term:
Pythagorean Identity states that , so substitute that in:
Which simplifies to:
Hope this helps!