convert each set of coordinates to decimal form. then type the coordinates into google maps. 1. 39° 47 28.2012 n 86° 0 0.9504 w _____________ n, _____________ w location: ___________________ 2. 40° 41 21.2892 n 74° 2 40.2072 w _____________ n, _____________ w location: ___________________ 3. 29° 58 45.948 n 31° 8 3.228 e _____________ n, _____________ e location: ___________________ 4. 33° 51 24.48 s 151° 12 55.08 e w _____________ s, _____________ e location: ___________________ 5. 27° 6 16.8156 s 109° 21 37.7316 _____________ s, _____________ w location: ___________________

Question

Accepted Answer

### Problem 1:
# Explanation:
## Step1: Convert minutes and seconds to degrees for latitude
To convert $ 39^\circ 47' 28.2012'' $ N to decimal degrees:
- First, convert minutes to degrees: $ 47' = \frac{47}{60} \approx 0.7833^\circ $
- Then, convert seconds to degrees: $ 28.2012'' = \frac{28.2012}{3600} \approx 0.0078337^\circ $
- Add to the degrees: $ 39 + 0.7833 + 0.0078337 \approx 39.7911337^\circ $ N

## Step2: Convert minutes and seconds to degrees for longitude
For $ 86^\circ 0' 0.9504'' $ W:
- Minutes: $ 0' = 0^\circ $
- Seconds: $ 0.9504'' = \frac{0.9504}{3600} \approx 0.000264^\circ $
- Add to the degrees: $ 86 + 0 + 0.000264 \approx 86.000264^\circ $ W

## Step3: Find the location
Typing $ 39.7911^\circ $ N, $ 86.0003^\circ $ W into Google Maps gives a location near Indianapolis, Indiana, USA (more precisely, near the coordinates calculated, it's in Indianapolis area).

# Answer:
Latitude: $ 39.7911^\circ $ N, Longitude: $ 86.0003^\circ $ W
Location: Indianapolis, Indiana, USA (approximate)

### Problem 2:
# Explanation:
## Step1: Convert latitude to decimal
For $ 40^\circ 41' 21.2892'' $ N:
- Minutes to degrees: $ 41' = \frac{41}{60} \approx 0.6833^\circ $
- Seconds to degrees: $ 21.2892'' = \frac{21.2892}{3600} \approx 0.0059137^\circ $
- Total latitude: $ 40 + 0.6833 + 0.0059137 \approx 40.6892137^\circ $ N

## Step2: Convert longitude to decimal
For $ 74^\circ 2' 40.2072'' $ W:
- Minutes to degrees: $ 2' = \frac{2}{60} \approx 0.0333^\circ $
- Seconds to degrees: $ 40.2072'' = \frac{40.2072}{3600} \approx 0.0111687^\circ $
- Total longitude: $ 74 + 0.0333 + 0.0111687 \approx 74.0444687^\circ $ W

## Step3: Find the location
Typing $ 40.6892^\circ $ N, $ 74.0445^\circ $ W into Google Maps gives New York City, New York, USA (specifically near the coordinates, it's in NYC area).

# Answer:
Latitude: $ 40.6892^\circ $ N, Longitude: $ 74.0445^\circ $ W
Location: New York City, New York, USA (approximate)

### Problem 3:
# Explanation:
## Step1: Convert latitude to decimal
For $ 29^\circ 58' 45.948'' $ N:
- Minutes: $ 58' = \frac{58}{60} \approx 0.9667^\circ $
- Seconds: $ 45.948'' = \frac{45.948}{3600} \approx 0.012763^\circ $
- Total latitude: $ 29 + 0.9667 + 0.012763 \approx 29.979463^\circ $ N

## Step2: Convert longitude to decimal
For $ 31^\circ 8' 3.228'' $ E:
- Minutes: $ 8' = \frac{8}{60} \approx 0.1333^\circ $
- Seconds: $ 3.228'' = \frac{3.228}{3600} \approx 0.0008967^\circ $
- Total longitude: $ 31 + 0.1333 + 0.0008967 \approx 31.1341967^\circ $ E

## Step3: Find the location
Typing $ 29.9795^\circ $ N, $ 31.1342^\circ $ E into Google Maps gives a location near Giza, Egypt (specifically near the Great Pyramids of Giza, as the coordinates are close to Giza).

# Answer:
Latitude: $ 29.9795^\circ $ N, Longitude: $ 31.1342^\circ $ E
Location: Giza, Egypt (near the Great Pyramids)

### Problem 4:
# Explanation:
## Step1: Convert latitude to decimal (South latitude)
For $ 33^\circ 51' 24.48'' $ S:
- Minutes to degrees: $ 51' = \frac{51}{60} = 0.85^\circ $
- Seconds to degrees: $ 24.48'' = \frac{24.48}{3600} = 0.0068^\circ $
- Total latitude: $ 33 + 0.85 + 0.0068 = 33.8568^\circ $ S

## Step2: Convert longitude to decimal (East longitude)
For $ 151^\circ 12' 55.08'' $ E:
- Minutes to degrees: $ 12' = \frac{12}{60} = 0.2^\circ $
- Seconds to degrees: $ 55.08'' = \frac{55.08}{3600} = 0.0153^\circ $
- Total longitude: $ 151 + 0.2 + 0.0153 = 151.2153^\circ $ E

## Step3: Find the location
Typing $ 33.8568^\circ $ S, $ 151.2153^\circ $ E into Google Maps gives a location near Sydney, Australia (specifically, in the Sydney area, as the coordinates are close to Sydney).

# Answer:
Latitude: $ 33.8568^\circ $ S, Longitude: $ 151.2153^\circ $ E
Location: Sydney, Australia

### Problem 5:
# Explanation:
## Step1: Convert latitude to decimal (South latitude)
For $ 27^\circ 6' 16.8156'' $ S:
- Minutes to degrees: $ 6' = \frac{6}{60} = 0.1^\circ $
- Seconds to degrees: $ 16.8156'' = \frac{16.8156}{3600} \approx 0.004671^\circ $
- Total latitude: $ 27 + 0.1 + 0.004671 \approx 27.104671^\circ $ S

## Step2: Convert longitude to decimal (West longitude)
For $ 109^\circ 21' 37.7316'' $ W:
- Minutes to degrees: $ 21' = \frac{21}{60} = 0.35^\circ $
- Seconds to degrees: $ 37.7316'' = \frac{37.7316}{3600} \approx 0.010481^\circ $
- Total longitude: $ 109 + 0.35 + 0.010481 \approx 109.360481^\circ $ W

## Step3: Find the location
Typing $ 27.1047^\circ $ S, $ 109.3605^\circ $ W into Google Maps gives a location near Easter Island (Rapa Nui), Chile (the coordinates are close to Easter Island's location).

# Answer:
Latitude: $ 27.1047^\circ $ S, Longitude: $ 109.3605^\circ $ W
Location: Easter Island (Rapa Nui), Chile (approximate)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 1:

Step1: Convert minutes and seconds to degrees for latitude

Step2: Convert minutes and seconds to degrees for longitude

Step3: Find the location

Step1: Convert latitude to decimal

Step2: Convert longitude to decimal

Step3: Find the location

Step1: Convert latitude to decimal

Step2: Convert longitude to decimal

Step3: Find the location

Answer:

Problem 2: