Geometría, Distancias, Escalas y Medidas en Problemas Reales

Apuntes

``` • Subtopic: Calculating Real Distances from Map Scales 33.- A couple planning to buy a house measured the distance using a map with a scale of 1:30000. On the map, the distance is 2 cm. What is the actual distance? Additionally, they know the house is 1.5 km from the nursery. How far would that be on the map? To calculate the real distance from the map: 1 30000 x 60000 cm 30000 x 2 60000:100 600 m For the nursery distance: 1500 m (1.5 km) on the map scale of 1:30000 would be 5 cm. • Subtopic: Calculating Flight Distances on a Map 34.- A plane flew directly from Las Palmas in Gran Canaria to Palma in Mallorca. On a map with a scale of 1:9000000, the distance is 26 cm. How many kilometers did the plane travel? 1 9000000 26 ? The plane traveled a total of 2340 km. 26 x 9000000 = 234000000 234000000:100000 = 2340 km • Subtopic: Calculating Heights Using Visual Alignment 35.- At what height is the top of the sculpture if Paul sees it aligned with the edge of the fence? A = 1.6 m B = 0.9 m C = 2.1 m D = 4.6 m ED = 3.8/4.2 m Using the alignment: 2.1/4.1 - 1.6 m = 0.5 m 0.5 = 0.5 D:A B 0.15:55 0.9 2.1'75 0.9 3.05 + 1.6 = 3.8 --- • Subtopic: Geometry and Measurement Goals 5. GAIA: MUNDU...