What is the scale factor if a 8.9 m object appears as 6.5 cm in a picture?
8.9 m = 890 cm
so scale = 6.5 : 890
= 65 : 8900
= 13 : 1780
= 1 : 136.923 , some people insist that the smallest component of the ratio must be 1
To find the scale factor, you need to determine how many times smaller the picture is compared to the actual object.
First, convert the measurements to the same units. Since the object is given in meters and the picture is given in centimeters, convert the object's measurement to centimeters:
8.9 m = 890 cm
Now, divide the size of the object by the size in the picture:
Scale Factor = (Size of object) / (Size in picture)
= 890 cm / 6.5 cm
= 136.9231
Therefore, the scale factor is approximately 136.9231.
To find the scale factor, you need to compare the measurements of the object in the picture to its actual size. In this case, the measurements given are:
Object in the picture: 6.5 cm
Actual object size: 8.9 m
To calculate the scale factor, you need to convert the measurements to the same unit (either centimeters or meters). Let's convert both measurements to meters for consistency.
6.5 cm is equivalent to 0.065 m (since 1 cm = 0.01 m).
Thus, the measurements now become:
Object in the picture: 0.065 m
Actual object size: 8.9 m
Now, the scale factor is calculated by dividing the object in the picture by the actual object size:
Scale factor = Object in the picture / Actual object size
Scale factor = 0.065 m / 8.9 m
Simplifying: Scale factor ≈ 0.0073
Therefore, the scale factor if an 8.9 m object appears as 6.5 cm in a picture is approximately 0.0073.