Problem 349

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Problem 349: (2018 AMC 12b, 23)

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

$\textbf{(A) }105 \qquad$ $ \textbf{(B) }112\frac{1}{2} \qquad$ $ \textbf{(C) }120 \qquad$ $ \textbf{(D) }135 \qquad$ $ \textbf{(E) }150 \qquad$

Solution

Exercise 349: Solution

Ajay is standing at point $A$, $60^\circ$ N latitude and $0^\circ$ longitude. Billy is standing at point $B$, $60^\circ$ N latitude and $180^\circ$ longitude. Assume Earth is a perfect sphere with center $C$. What is the degree measure of $\angle ACB$?

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