Question #70956

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Answer 1 · 2018-01-10T12:06:53

#x=21.5#

#tan(2(x+1))=1#

#tan(2x+2)=1#

To give you a hint to solve, look at this triangle
![https://useruploads.socratic.org/KKkaXoqMRNW3zburfzPG_isosceles_right_triangle.jpg)

#tan45=(BC)/(AC)=1# (because #triangleABC# is isosceles)

So,

#2x+2=tan^-1(1)=45#

#2x=43#

#x=43/2=21.5#