9514 1404 393
Answer:
Y = 6.5°
Explanation:
We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...
cot(90 -(3Y+32)) = cot(Y+32)
58 -3Y = Y +32
26 = 4Y
6.5 = Y
One solution is Y = 6.5°.
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Additional solutions are found at integral multiples of 45° added to this value.