Question

What is the value of x?

132√ cm

526√3 cm

262√ cm

263√ cm

Answer 1

`\huge \boxed{\sf 26√(2)\ cm } \\\\\\\sf Using\ trigonometric\ functions \\\\\displaystyle cos \theta = (adj)/(hyp) \\\\cos(60)=(adj)/(52) \\\\adj=cos(60) * 52=26 \\\\Using\ the\ Pythagorean\ theorem \\\\x=√(26^2+26^2) =26√(2)`

Answer 2

30 60 90 right triangle on the right
ratio of short leg: long leg :hypo = a: a√3: 2a
So if hypo = 52 cm then short leg = 52/2 = 26 cm

The other right triangle on the left is 45 45 90 because it has 2 equal sides
ratio of leg: leg :hypo = a: a: a√2

the leg = 26 cm
so hypo x = 26√2

Answer
26√2 cm