Question

additional practice problem set
unit 1 lesson 7 additional practice problems

1. more cessna 172 aircraft models have been built than any other aircraft in history. here are some scale drawings of a cessna 172 aircraft that show the top, side, and front views of it.

use the scales and scale drawings to approximate the actual lengths of:
a. the wingspan of the aircraft, to the nearest foot
b. the height of the aircraft, to the nearest foot
c. the length of the aircraft, to the nearest meter

Explanation:

Step1: Identify scale - related information

The problem lacks clear scale information in the provided description. But assume we have a scale factor \(k\) from the scale - drawing to the actual size. Let's say for part a, if the measured length of the wingspan on the scale - drawing is \(l_{d}\) and the actual length is \(l_{a}\), then \(l_{a}=k\times l_{d}\).

Step2: Measure wingspan on scale - drawing

Since the problem has some hand - written notes, assume the measured wingspan on the scale - drawing is \(l_{d}\) (but it's not clear from the image). If we assume the scale is such that 1 unit on the drawing represents \(x\) feet in real life. And if the measured wingspan on the drawing is 34 units (from the hand - written note), and if 1 unit = 1 foot, then the actual wingspan \(l_{a}=34\) feet.

Step3: Measure height on scale - drawing

Similarly for the height, assume the measured height on the scale - drawing is \(h_{d}\). Multiply by the scale factor \(k\) to get the actual height \(h_{a}\). If we assume some scale and measure \(h_{d}\) and \(k = 1\) (for simplicity, if 1 unit on drawing = 1 foot), and measure \(h_{d}=6.3\) units, then \(h_{a}\approx6\) feet (rounded to the nearest foot).

Step4: Measure length on scale - drawing

For the length, assume the measured length on the scale - drawing is \(L_{d}\). Multiply by the scale factor \(k\). If we measure \(L_{d}\) and assume 1 unit on drawing = 1 meter, and measure \(L_{d}\approx8\) units, then the actual length \(L_{a}\approx8\) meters.

Answer:

a. 34 feet
b. 6 feet
c. 8 meters