// Numbas version: finer_feedback_settings
{"name": "Aprendamos a determinar lados de una figura real por medio de un modelo a escala", "extensions": ["geogebra"], "custom_part_types": [], "resources": [["question-resources/366201593_la_piramide_de_keops_VBCohhY.jpg", "/srv/numbas/media/question-resources/366201593_la_piramide_de_keops_VBCohhY.jpg"], ["question-resources/Tour_eiffel_at_sunrise_from_the_trocadero_1.jpg", "/srv/numbas/media/question-resources/Tour_eiffel_at_sunrise_from_the_trocadero_1.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Aprendamos a determinar lados de una figura real por medio de un modelo a escala", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<h2 style=\"text-align: center;\">Aprendamos a determinar lados de una figura real por medio de un modelo a escala</h2>\n<p style=\"text-align: justify;\">La torre Eiffel\u200b (tour Eiffel, en franc&eacute;s), inicialmente llamada tour de ___________ metros , es una estructura de hierro pudelado dise&ntilde;ada por los ingenieros Maurice Koechlin y &Eacute;mile Nouguier, dotada de su aspecto definitivo por el arquitecto Stephen Sauvestre y construida por el ingeniero franc&eacute;s Alexandre Gustave Eiffel y sus colaboradores para la Exposici&oacute;n Universal de 1889 en Par&iacute;s.</p>\n<p style=\"text-align: justify;\">Situada en el extremo del Campo de Marte a la orilla del r&iacute;o Sena, este monumento parisino, s&iacute;mbolo de Francia y de su capital, es la estructura m&aacute;s alta de la ciudad y el monumento que cobra entrada m&aacute;s visitado del mundo, con 7,1 millones de turistas cada a&ntilde;o.\u200b Con una altura de _________ metros, prolongada m&aacute;s tarde con una antena hasta los 324 metros, la torre Eiffel fue la estructura m&aacute;s elevada del mundo durante 41 a&ntilde;os.</p>\n<p><img src=\"resources/question-resources/Tour_eiffel_at_sunrise_from_the_trocadero_1.jpg\" width=\"304\" height=\"456\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>Lo anterior, lo podemos modelar por medio de Geogebra, de la siguiente manera:</p>\n<p align=\"center\" style=\"text-align: center;\">{geogebra_applet('https://www.geogebra.org/calculator/c6zagpty')}</p>\n<p></p>", "advice": "", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "An\u00e1lisis del c\u00e1lculo de la altura de la Torre Eiffel", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para determinar la altura primero debemos construir las siguiente proporci&oacute;n, por medio de las siguientes razones:</p>\n<p>Observaci&oacute;n: La inc&oacute;gnita a buscar ser&aacute; $x$ en el problema.</p>\n<p style=\"text-align: center;\">$\\frac{\\text{Base de la Torre Eiffel}}{\\text{Base de la foto}}$$=$$\\frac{\\text{Altura de la Torre Eiffel}}{\\text{Altura de la foto}}$</p>\n<p style=\"text-align: left;\">[[0]]&nbsp; &nbsp; [[3]]</p>\n<p style=\"text-align: left;\">------------ $=$ ------------</p>\n<p style=\"text-align: left;\">[[2]]&nbsp; &nbsp; [[1]]</p>\n<p style=\"text-align: left;\">Pero la base de la torre esta en metros y las medidas de la foto en cent&iacute;metros, pero recordemos que 1 mt = [[5]] cm, obteniendo la ecuaci&oacute;n:</p>\n<p style=\"text-align: left;\">[[6]]&nbsp; &nbsp; [[3]]</p>\n<p style=\"text-align: left;\">------------ $=$ ------------</p>\n<p style=\"text-align: left;\">[[2]]&nbsp; &nbsp; [[1]]</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">Para despejar $x$ podemos ver que la Altura del Bast&oacute;n divide a $x$, entonces pasar&iacute;a a multiplicar la longitud de la sombra de Keops, obteniendo la expresi&oacute;n:</p>\n<p style=\"text-align: left;\">[[6]] $\\cdot$ [[1]]&nbsp; &nbsp;</p>\n<p style=\"text-align: left;\">---------------------------- $=$ &nbsp;[[3]]</p>\n<p style=\"text-align: left;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[2]]</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">Obteniendo que la altura de Keops es igual a: [[4]] metros</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Base de la Torre", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, 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