While playing in a garden, Mia discovers her reflection in a large, spherical garden globe. The garden globe has a radius of $15\mathrm{.}0$ cm and is positioned $1\mathrm{.}50$ m away from Mia. Eager to understand the details of her reflection, Mia wants to know the location and size of her image. Given that Mia is $1\mathrm{.}45$ m tall, assist her in determining the location of her image, expressing it in centimeters.