{"status": "success", "data": {"description_md": "In the diagram, $PQ$ is perpendicular to $QR$, $QR$ is perpendicular to $RS$, and $RS$ is perpendicular to $ST$. If $PQ = 4$, $QR = 8$, $RS = 8$, and $ST = 3$, then the distance from $P$ to $T$ is\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2016/crops/16_cayley_p11_fig.png\" alt=\"figure\" width=\"254\"></center>\n\n$\\text{(A)}\\ 16\\qquad\\text{(B)}\\ 12\\qquad\\text{(C)}\\ 17\\qquad\\text{(D)}\\ 15\\qquad\\text{(E)}\\ 13$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the diagram, <span class=\"katex--inline\">PQ</span> is perpendicular to <span class=\"katex--inline\">QR</span>, <span class=\"katex--inline\">QR</span> is perpendicular to <span class=\"katex--inline\">RS</span>, and <span class=\"katex--inline\">RS</span> is perpendicular to <span class=\"katex--inline\">ST</span>. If <span class=\"katex--inline\">PQ = 4</span>, <span class=\"katex--inline\">QR = 8</span>, <span class=\"katex--inline\">RS = 8</span>, and <span class=\"katex--inline\">ST = 3</span>, then the distance from <span class=\"katex--inline\">P</span> to <span class=\"katex--inline\">T</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2016/crops/16_cayley_p11_fig.png\" alt=\"figure\" width=\"254\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 16\\qquad\\text{(B)}\\ 12\\qquad\\text{(C)}\\ 17\\qquad\\text{(D)}\\ 15\\qquad\\text{(E)}\\ 13</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2016 Cayley Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/16_cayley_p12", "prev": "/problem/16_cayley_p10"}}