Final answer:
To convert the angle 152°21'7" to decimal degrees and round to the nearest hundredth, add the fractions of a degree represented by the minutes and seconds to the degrees and round the result.
Step-by-step explanation:
To convert an angle to decimal degrees, first convert the minutes and seconds to fractions of a degree. 152°21'7" can be written as 152 degrees + 21/60 degrees + 7/3600 degrees. The fractions can be calculated as follows: 21/60 degrees = 0.35 degrees, 7/3600 degrees = 0.0019 degrees. Add the decimal values together to get the decimal degree representation: 152 + 0.35 + 0.0019 = 152.3519 degrees. Rounding to the nearest hundredth of a degree gives us the answer of 152.35 degrees (d).