Math Gold Medalist

Lor

2023 AMC 10A

Problem 13

Abdul and Chiang are standing $48$ feet apart in a field. Bharat is standing in the same field as far from Abdul as possible so that the angle formed by his lines of sight to Abdul and Chiang measures $60^\circ$. What is the square of the distance (in feet) between Abdul and Bharat?

$\textbf{(A) } 1728 \qquad \textbf{(B) } 2601 \qquad \textbf{(C) } 3072 \qquad \textbf{(D) } 4608 \qquad \textbf{(E) } 6912$

Loci of Equi-angular Points

Important Formulas in Perpendicular Bisectors

R=48/2sin60

R=b/2sinB -> b=2RsinB <= 2R

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   Solution