Question

convert the following angle to decimal degrees. $alpha = 75^{circ}2035$ $alphaapproxsquare^{circ}$ (round to 3 decimal places as needed.)

Explanation:

Step1: Convert minutes to degrees

We know that 1 degree = 60 minutes. So, 20 minutes in degrees is $\frac{20}{60}=\frac{1}{3}\approx0.3333$ degrees.

Step2: Convert seconds to degrees

Since 1 degree = 3600 seconds, 35 seconds in degrees is $\frac{35}{3600}\approx0.0097$ degrees.

Step3: Add all parts together

The total angle in decimal - degrees is $75 + 0.3333+0.0097 = 75.343$ degrees.

Answer:

$75.343$