// Numbas version: exam_results_page_options
{"name": "Gu\u00eda de Trigonometr\u00eda - NM2 - Pregunta 4", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_5_OpWVH5g.jpg", "/srv/numbas/media/question-resources/Screenshot_5_OpWVH5g.jpg"], ["question-resources/Screenshot_6_e6gwY7H.jpg", "/srv/numbas/media/question-resources/Screenshot_6_e6gwY7H.jpg"], ["question-resources/4.png", "/srv/numbas/media/question-resources/4.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Gu\u00eda de Trigonometr\u00eda - NM2 - Pregunta 4", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p style=\"text-align: center;\"><img src=\"resources/question-resources/Screenshot_5_OpWVH5g.jpg\"/></p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/Screenshot_6_e6gwY7H.jpg\"/></p>\n<p>4)&nbsp; &nbsp; En la figura adjunta se tiene el tri&aacute;ngulo ABC rect&aacute;ngulo en C. Con los datos de la figura determine el valor de $x$.</p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/4.png\"/></p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp;A)&nbsp; &nbsp;$\\Large \\frac{\\cos(50&deg;)}{10}$</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp;B)&nbsp; &nbsp;$10 \\cdot \\cos{50&deg;}$</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp;C)&nbsp; &nbsp;$\\Large \\frac{10}{\\tan(50&deg;)}$</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp;D)&nbsp; &nbsp;$10 \\cdot \\tan{50&deg;}$&nbsp;</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Desarrollo", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para resolver este ejercicio seguiremos los siguientes pasos:</p>\n<table style=\"width: 863px;\">\n<tbody>\n<tr>\n<td style=\"width: 394px; text-align: center;\"><strong>Paso 1:&nbsp;</strong>Determinar en la figura que son $x$ y $10$, para el tri&aacute;ngulo rect&aacute;ngulo en <strong>C</strong>.&nbsp;</td>\n<td style=\"width: 456px; text-align: center;\">\n<p>$x=$[[0]]</p>\n<p>$10=$[[1]]</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 394px; text-align: center;\"><strong>Paso 2:&nbsp;</strong>Escribir la raz&oacute;n&nbsp;[[2]]$(50&deg;)$, seg&uacute;n los datos de la figura</td>\n<td style=\"width: 456px;\">\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[4]]</p>\n<p style=\"text-align: center;\">[[2]]$(50&deg;)=$________</p>\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[3]]</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 394px; text-align: center;\"><strong>Paso 3:&nbsp;</strong>Despejar la $x$ en la ecuaci&oacute;n, obteniendo que es igual a:</td>\n<td style=\"width: 456px; text-align: center;\">$x=$[[3]]$\\cdot$[[2]]$(50&deg;)$</td>\n</tr>\n</tbody>\n</table>\n<p>La respuesta es la alternativa:&nbsp;</p>", "gaps": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["cateto opuesto", "cateto adyacente", "hipotenusa"], "matrix": ["0.2", 0, 0], "distractors": ["", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["cateto opuesto", "cateto adyacente", "hipotenusa"], "matrix": [0, "0.2", 0], "distractors": ["", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["sen", "cos", "tan"], "matrix": [0, 0, "0.2"], "distractors": ["", "", ""]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "10", "maxValue": "10", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "jme", "useCustomName": false, "customName": "", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "x", "showPreview": false, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["A", "B", "C", "D"], "matrix": [0, 0, 0, "1"], "distractors": ["", "", "", ""]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}]}]}], "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}]}