Answer:
The actual height of the object is 200.2 cm
Step-by-step explanation:
The parameters given are;
The actual height = 154 cm.
The height in the picture = 10 cm.
The height of the object = 13 cm
The scale of the picture is 154 is to 10 or 154:10 which is equivalent to 77:5
Therefore the scale of the actual object height to the image height = 77:5
Where the image of the object = 13 cm
Let the height of the actual object = X, then we then have;
[tex]\dfrac{77}{5} = \dfrac{X}{13}[/tex]
[tex]X = 13 \times \dfrac{77}{5} = \dfrac{1001}{5} = 200\frac{1}{5} \ cm = 200.2 \ cm[/tex]
The actual height of the object = 200.2 cm.