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scoundrel [369]
3 years ago
8

Mariana y su familia visitan lugares turísticos del cantón de Atacames y Muisne, recorriendo desde Quito 338.72 km. Visitan Tons

upa y la familia se toman una foto con el monumento de la Virgen de Santa Rosa, a una distancia de su base de 300 cm, que al observar su cara diagonalmente estarían a una distancia de 800 cm. Luego se desplazaron hasta Tonchigüe 34.36 km donde disfrutaron de un almuerzo, por último, se desplazaron a su hotel en Mompiche recorriendo 53.12 km. Determine: a) La altura del monumento de la virgen de santa rosa en metros. b) Determine la distancia recorrida en metros de la ruta realizada por Mariana y su familia desde Quito a Mompiche.
Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

(a) La altura del monumento en metros es de aproximadamente 8.544 m

(b) La distancia recorrida por Mariana y su familia desde Quito a Mompiche en metros es 426,200 m

Step-by-step explanation:

(a) La distancia del que toman la foto desde la base = 300 cm

La distancia diagonal de su rostro al fotógrafo = 800 cm.

Según el teorema de Pitágoras, la altura, h = √ ((800 cm) ² + (300 cm) ²) ≈ 854.400374532 cm

La altura del monumento, h ≈ 854,4 cm

La altura del monumento en metros, h ≈ 8.544 m

(b) La distancia total recorrida por Mariana y su familia desde Quito a Mompiche, d = (338.72 + 34.36 + 53.12) km = 426.2 km

La distancia recorrida en metros, d = 426,2 km × 1.000 m / km = 426.200 m

La distancia recorrida por Mariana y su familia desde Quito a Mompiche en metros, d = 426,200 m

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