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1982 AMC 12 Question 18

AMC12 · 1982 AMC 12

Question 18

In the adjoining figure of a rectangular solid, $\angle DHG=45^\circ$ and $\angle FHB=60^\circ.$ Find the cosine of $\angle BHD.$

Question illustration
  1. $\frac{\sqrt3}{6}$
  2. $\frac{\sqrt2}{6}$
  3. $\frac{\sqrt6}{3}$
  4. $\frac{\sqrt6}{4}$
  5. $\frac{\sqrt6-\sqrt2}{4}$