Question

lesson 1 | session 2
the photo shows a small coin. the scale from the actual coin to the photo is
8 mm to 2 cm. in the photo, the distance across the coin is 3.25 cm. what is the
distance across the actual coin? show your work.
solution
in a photograph, alison stands next to her brother caleb. alison is 4 cm tall in the
photograph. her actual height is 60 in. caleb is 3.2 cm tall in the photograph.
what is calebs actual height? show your work.
solution
adoncia makes a scale drawing of the front of
the lincoln memorial. she uses a scale of 15 ft
in the monument to 1 in. in the drawing. the
front of the monument is about 80 ft high and
200 ft long. will adoncias drawing fit on an
8 1/2 in.-by-11 in. sheet of paper? explain.

Explanation:

Step1: Set up proportion

Let \(x\) be Caleb's actual height. The proportion is \(\frac{4}{60}=\frac{3.2}{x}\) (since the ratio of photo height to actual height is the same for both Alison and Caleb).

Step2: Cross - multiply

Cross - multiplying gives \(4x = 60\times3.2\).

Step3: Solve for \(x\)

First, calculate \(60\times3.2=192\). Then, \(x=\frac{192}{4}\).

Answer:

Caleb's actual height is \(48\) inches.