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2018 AMC 12B Question 23

AMC12 · 2018 AMC 12B

Question 23

Ajay is standing at point $A$ near Pontianak, Indonesia, $0^\circ$ latitude and $110^\circ$ E longitude. Billy is standing at point $B$ near Big Baldy Mountain, Idaho, USA, $45^\circ$ N latitude and $115^\circ$ W longitude. Assume that Earth is a perfect sphere with center $C.$ What is the degree measure of $\angle ACB?$
  1. $105$
  2. $112\tfrac{1}{2}$
  3. $120$
  4. $135$
  5. $150$