In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX|…

In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = (sqrt{3})cm. Find UTW

Correct Answer: Option C

Explanation

In (Delta) UXT, tan(alpha) = (frac{1}{sqrt{3}})
(alpha) = tan^-1((frac{1}{sqrt{3}}))
= 30^o
In (Delta)WXT, tan(beta) (frac{sqrt{3}}{sqrt{3}}) = 1
(beta) = tan^-1(1) = 45^o
Hence,

= 30^o + 45^o = 75^o