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4. ¿Cuál es la altura de una torre que proyecta una

sombra de 16 m, si la distancia desde el punto
más alto de la torre al extremo de la sombra es de
20 m?

User StiGMaT
by
7.8k points

1 Answer

7 votes

Answer:

134.16 meters and length of shadow is 268.33 meters

Explanation:

Applying Pythagoras. Let the the distance from the end of the shadow to building top be the hypotenuse side 300 meter, building height be X and the adjacent be the shadow length which is twice the height of the building 2XTherefore from Pythagoras theorem:Squared of hypotenuse side= to sum of squares of the other sidesC^2= a^2+b^2300*2= X^2+2X^290000= 5X^2X^2= 90000/5X^2=18000X= 134.16 meters2X = 268.33 metersTherefore the height of building is 134.16 meters and length of shadow is 268.33 meters

User Isanka Wijerathne
by
8.3k points