PLEASE SHOW ALL WORK AND EXPLAIN WHY STEPS WERE TAKEN THANK

PLEASE SHOW ALL WORK AND EXPLAIN WHY STEPS WERE TAKEN. THANK YOU!

Solution

law of continuity : 6*2 = v*d

bernoulis principle : P + 0.5rho2*2 + rho*6*g = P + 0.5rhov*v + rho*d*g
2+60 = v²/2 + 10d
replace v with 12/d
62d² = 72 + 10d³

Solve using a calculator
d = -1, 6/5, 6
So depth is 1.2 m