A una distancia de 2 metros de la base de una torre, vemos su bandera en un Distancia de 5,39 metros en línea recta. ¿Cuál es la
1 answer:
Answer:
La altura de la torre es de 4,0052 m.
Step-by-step explanation:
En la figura vemos que la persona está parada en C y la bandera en A.
Se dan la base y la hipotenusa, tenemos que encontrar la altitud / altura / perpendicular del triángulo.
Según el teorema de Pitágoras
hipotenusa² = base² + perpendicular²
o
perpendicular² = hipotenusa²- base²
perpendicular² = 5.39²- 2²
perpendicular² = 29.0521-4
perpendicular² = 25.0521
perpendicular = √25.0521
perpendicular = 5.0052m
Ahora, en el punto A, la altura de la bandera se incluye en la altura de la torre.
La longitud de la bandera se deduce para obtener la altura real de la torre.
perpendicular = longitud de la bandera + altura de la torre
altura de la torre = perpendicular - longitud de la bandera
= 5.0052-1 = 4.0052m
La altura de la torre es de 4,0052 m.
From the figure we see that the person is standing at C and the flag is at A.
The base and the hypotenuse are given we have to find the altitude / height/ perpendicular of the triangle.
According to Pythagorus theorem
hypotenuse²= base² + perpendicular²
or
perpendicular²= hypotenuse²- base²
perpendicular²= 5.39²- 2²
perpendicular²= 29.0521-4
perpendicular²= 25.0521
perpendicular= √25.0521
perpendicular= 5.0052m
Now at the point A the height of the flag is included in the height of the tower.
The length of the flag is deducted to get the actual height of the tower.
perpendicular= flag length + tower height
tower height = perpendicular - flag length
=5.0052- 1= 4.0052m
The tower height is 4.0052m
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