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 <question type="category"><category><text>1MA 02. RESOLUCIÓ DE TRIANGLES/1MA.02.3 Resolució de problemes</text></category></question>
 
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 <question type="essay">
    <name>
      <text>1MA.02.3.16R Distància astres i paral·laxi</text>
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      <text><![CDATA[<p><span style="color: #003300;"><strong><span style="font-size: small;">Redacta com resoldries l'exercici següent, <span style="text-decoration: underline;">explicant què vols fer i perquè.</span></span></strong></span></p>
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<p style="text-align: justify;"><span style="color: #003300;"><strong><span style="font-size: small;">El procés seguit per calcular determinades distàncies està basat en<span style="color: #0000ff;"><a href="http://ca.wikipedia.org/wiki/Paral%C2%B7laxi" target="_blank"><span style="color: #0000ff;"> l'efecte de paral·laxi</span></a></span>. És el mateix procediment que s'ha fet servir en astronomia per a saber amb precisió les distàncies a les quals es troben els astres.</span></strong></span></p>
<p style="text-align: justify;"><span style="color: #003300;"><strong><span style="font-size: small;"><span style="line-height: 1.4;" data-mce-mark="1">a)  </span><span style="line-height: 1.4;" data-mce-mark="1">Així per a saber la distància de la Terra a la Lluna es fan observacions agafant com a base una distància igual al radi de la Terra (6 370 km). L'angle </span><span style="line-height: 1.4;" data-mce-mark="1">β </span><span style="line-height: 1.4;" data-mce-mark="1">(angle de paral·laxi) té un valor de 0,95º. Calcula amb aquestes dades la distància de la Terra a la Lluna. </span></span></strong></span></p>
<p style="text-align: justify;"><span style="color: #003300;"><strong><span style="font-size: small;"><span style="line-height: 1.4;" data-mce-mark="1">b)  </span><span style="line-height: 1.4;" data-mce-mark="1">L'estel més proper a la Terra és Alpha Centauri. Utilitzant com a base d'observació el diàmetre de l'òrbita de la Terra al voltant del Sol ( la distància de la Terra al Sol és de 150 milions de km) i sabent que l'angle de p</span><span style="line-height: 1.4;" data-mce-mark="1">aral·laxi és de 1,52 segons d'arc, calcula la distància a que ens trobem d'aquest estel</span></span></strong></span></p>
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