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In general, you cannot. Not without some additional information.
You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.
Given the information provided in the question, the only way is to measure it. There needs to be some additional information before the height can be calculated.
If you know some additional information, such as the length of a base, you might be able to use Pythagoras' Theorem in some cases.
The answer depends on what information you already have. Without that knowledge, you cannot even begin to guess what is additional.