Questions: 297,56 * cos 300° 5,3' = 297,56 * cos 59° 54,7' =

297,56 * cos 300° 5,3' = 
297,56 * cos 59° 54,7' =
Transcript text: $297,56 \cdot \cos 300^{\circ} 5,3^{\prime}= \\ 297,56 \cdot \cos 59^{\circ} 54,7^{\prime}=$
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Solution

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Solution Steps

To solve the given problem, we need to convert the angles from degrees and minutes to decimal degrees, then use the cosine function to find the cosine values, and finally multiply the results by 297.56.

Solution Approach
  1. Convert the angles from degrees and minutes to decimal degrees.
  2. Use the cosine function to find the cosine values of the converted angles.
  3. Multiply the cosine values by 297.56.
Step 1: Convert Angles to Decimal Degrees

The angles given in degrees and minutes are converted to decimal degrees as follows: Angle 1: 3005.3=300+5.360300.0883 \text{Angle 1: } 300^\circ 5.3' = 300 + \frac{5.3}{60} \approx 300.0883^\circ Angle 2: 5954.7=59+54.76059.9117 \text{Angle 2: } 59^\circ 54.7' = 59 + \frac{54.7}{60} \approx 59.9117^\circ

Step 2: Calculate Cosine Values

Next, we calculate the cosine of the converted angles: cos(300.0883)0.5013 \cos(300.0883^\circ) \approx 0.5013 cos(59.9117)0.5013 \cos(59.9117^\circ) \approx 0.5013

Step 3: Multiply by 297.56

Finally, we multiply the cosine values by 297.56 297.56 : Result 1: 297.56cos(300.0883)297.560.5013149.1771 \text{Result 1: } 297.56 \cdot \cos(300.0883^\circ) \approx 297.56 \cdot 0.5013 \approx 149.1771 Result 2: 297.56cos(59.9117)297.560.5013149.1771 \text{Result 2: } 297.56 \cdot \cos(59.9117^\circ) \approx 297.56 \cdot 0.5013 \approx 149.1771

Final Answer

The results for the calculations are: 149.1771 \boxed{149.1771} for both 297.56cos(3005.3) 297.56 \cdot \cos(300^\circ 5.3') and 297.56cos(5954.7) 297.56 \cdot \cos(59^\circ 54.7') .

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