NVC Math 0415-005 Sec 6.4 Applications of Proportions and Similar Figures Notes 1. Linda drove 145 mi on 5 gal of gas. At this rate, how far can she drive on 12 gal? 2.1fa cable 25 ft long weights 1.2 lb, how much will a 120 ft cable weigh? 3. The distance between Phoenix and Los Angeles is 348 mi. On a certain map, this is represented by 6 in. On the same map, the distance between San Antonio and Little Rock is in. What is the actual distance between San Antonio and Little Rock? 4. A biologist wants to estimate the number of elk in a wildlife preserve. She sedates 25 elk and clips a small radio transmitter onto the ear of each animal. The elk return to the wild, and after 6 months, the biologist studies a sample of 120 elk in the preserve. 0fthe 120 elk sampled, 4 have radio transmitters. Approximately how many elk are in the whole preserve? Similar Figures same shapes whose corresponding sides are proportional. Similar Triangles two triangles whose corresponding sides are pr0portional. 5. On a sunny day, a 6-ft man casts a 3.2-ft shadow on the ground. At the same time, a building casts an SUI-ft shadow. How tall is the building? 6. A negative for a photograph is 3.5 cm by 2.5 cm. Ifthe width of the resulting picture is 4 in, what is the length of the picture