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,

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

$2x=43$

$x=43/2=21.5$