The idea of epicycles was introduced by which astronomer as an attempt to explain the retrograde motion of the planets in the geocentric universe model?
a. brahe
b. galileo
c. ptolemy
d. copernicus

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°