{"status": "success", "data": {"description_md": "In rectangle $ABCD$, $AB=20$ and $BC=10$. Let $E$ be a point on $\\overline{CD}$ such that $\\angle CBE=15^\\circ$. What is $AE$?\n\n$\\textbf{(A)}\\ \\dfrac{20\\sqrt3}3\\qquad\\textbf{(B)}\\ 10\\sqrt3\\qquad\\textbf{(C)}\\ 18\\qquad\\textbf{(D)}\\ 11\\sqrt3\\qquad\\textbf{(E)}\\ 20$", "description_html": "<p>In rectangle  <span class=\"katex--inline\">ABCD</span> ,  <span class=\"katex--inline\">AB=20</span>  and  <span class=\"katex--inline\">BC=10</span> . Let  <span class=\"katex--inline\">E</span>  be a point on  <span class=\"katex--inline\">\\overline{CD}</span>  such that  <span class=\"katex--inline\">\\angle CBE=15^\\circ</span> . What is  <span class=\"katex--inline\">AE</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\dfrac{20\\sqrt3}3\\qquad\\textbf{(B)}\\ 10\\sqrt3\\qquad\\textbf{(C)}\\ 18\\qquad\\textbf{(D)}\\ 11\\sqrt3\\qquad\\textbf{(E)}\\ 20</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2014 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10A_p23", "prev": "/problem/14_amc10A_p21"}}