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

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.

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.

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

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

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

Final Answer