Who is known for expanding the byzantine empire and reconquer lands that were lost after the fall of rome

The early Byzantine state. Once the Western Roman Empire fell to Germanic conquerors in 476 CE, the Eastern Empire continued on as what historians would later refer to as the Byzantine Empire. The first truly strong Byzantine Emperor was Justinian—who ruled the Byzantine Empire from 527 CE to 565 CE.

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explanation:

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angle a = 40.6°

step-by-step explanation:

for any right angle triangle we know the pythagoras theorem reveals

hypotenuse² = height²+base²

by this formula we will calculate the length of hypotenuse

h² = 6²+7²

⇒ h =√36+49 = √85 = 9.22

now from the given triangle sin a = height/ hypotenuse

                                                sin a = 6/9.22 = 0.651

therefore

so angle a = 40.6°