Question

o complemento de 22° 31' 47'' é:

Answer 1

Um ângulo complementar é aquele o qual ao ser acrescentado resulta no ângulo reto ($90^{\circ}$). $22^\circ31'47''+x=90^{\circ}\\\\x=90^{\circ}-22^\circ31'47''\qquad\qquad\qquad\qquad90^{\circ}=89^{\circ}59'60''\\\\x=89^{\circ}59'60''-22^\circ31'47''\\\\x=(89-22)^\circ\,(59-31)'\,(60-47)''\\\\x=\boxed{\boxed{67^\circ28'13''}}$