Comparing Heights in a Normal Distribution

A researcher conducted an experiment measuring the heights (in cm) of a group of 30 adult males. The heights of the group are normally distributed with a mean (${\mu}$) of 175 cm and a standard deviation (${\sigma}$) of 10 cm. The researcher wants to determine the following:

Quantity A: The height that corresponds to the 90th percentile of this distribution.

Quantity B: The height that is 1 standard deviation above the mean.

Using the properties of the normal distribution, find the relationship between Quantity A and Quantity B.