Arthur D. answered 02/24/16
Tutor
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Forty Year Educator: Classroom, Summer School, Substitute, Tutor
triangle LIT is similar to triangle YOU
I assume angle u is angle YUO
angle u has the same measure as angle LTI because the triangles are similar
cos=adj/hyp
cos=48/50
cos(u)=96/100=0.96
using arcos...
angle u has degree measure of 16.260204710º or 16º 15' 36.737"