Two similar signs have a scale factor of 5:3. if the larger sign is 45 feet tall. how tall is the small sign?

Given that 2 similar signs have a scale factor of 5:3 and the larger sign is 45 ft, then the smaller sign will have the height given by:

scale factor = (height of large sign) / (height of smaller sign)

let the height of smaller sign be x, plugging in the values we get:

5/3=45/x

solving for x we get

3/5=x/45

hence

x=3/5*45

x=27 ft

The height of smaller sign will be 27 ft