Question

convert the given angle measure into degrees and decimal fractions of a degree. 101°5054 101°5054≈□° (round to the nearest hundredth as needed.)

Explanation:

Step1: Convert minutes to degrees

We know that $1^{\circ}=60'$, so $50'=\frac{50}{60}\approx0.8333^{\circ}$.

Step2: Convert seconds to degrees

Since $1^{\circ} = 3600''$, then $54''=\frac{54}{3600}= 0.015^{\circ}$.

Step3: Add all parts together

The total degree measure is $101^{\circ}+0.8333^{\circ}+0.015^{\circ}=101.8483^{\circ}$. Rounding to the nearest hundred - th, we get $101.85^{\circ}$.

Answer:

$101.85$