Problem

Perform the calculation.
$58^{\circ} 9^{\prime}+67^{\circ} 42^{\prime}$
$58^{\circ} 9^{\prime}+67^{\circ} 42^{\prime}=$
(Simplify your answers. Type an integer or a fraction.)

Answer

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Answer

\(\boxed{125^{\circ} 51^{\prime}}\) is the final answer.

Steps

Step 1 :Perform the calculation: \(58^{\circ} 9^{\prime}+67^{\circ} 42^{\prime}\).

Step 2 :This is a problem of adding degrees and minutes. We know that 1 degree is equal to 60 minutes. So, we can add the degrees and minutes separately. If the total minutes is more than 60, we convert the excess into degrees.

Step 3 :Calculate the total degrees: \(58^{\circ} + 67^{\circ} = 125^{\circ}\).

Step 4 :Calculate the total minutes: \(9^{\prime} + 42^{\prime} = 51^{\prime}\).

Step 5 :The final answer is \(125^{\circ} 51^{\prime}\). So, \(58^{\circ} 9^{\prime}+67^{\circ} 42^{\prime}=125^{\circ} 51^{\prime}\).

Step 6 :\(\boxed{125^{\circ} 51^{\prime}}\) is the final answer.

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