In the diagram, TX is perpendicular to UW, |UX| = 1cm and |T...
In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = √3cm. Find UTW
A.
135o
B.
105o
C.
75o
D.
60o
Correct answer is C
In Δ UXT, tanα = 1√3
α = tan-1(1√3)
= 30o
In ΔWXT, tanβ √3√3 = 1
β = tan-1(1) = 45o
Hence, < UTW = α + β
= 30o + 45o = 75o
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