What is the gage block height for an angle of 17 degrees on a 5" sine plate?

To find the gage block height required for a specific angle on a sine plate, you can use the formula involving the sine of the angle and the length of the sine plate. The height of the gage block can be calculated using the formula:

[ h = L \cdot \sin(\theta) ]

where ( h ) is the gage block height, ( L ) is the length of the sine plate, and ( \theta ) is the angle in degrees.

In this case, the angle is 17 degrees, and the sine plate length is 5 inches. First, calculate the sine of 17 degrees. Using an approximation:

[ \sin(17^\circ) \approx 0.2924 ]

Next, multiply this value by the length of the sine plate:

[ h = 5 , \text{inches} \cdot 0.2924 \approx 1.4620 , \text{inches} ]

This calculated height is very close to 1.4618 inches, which corresponds to the provided answer of option C. Therefore, option C is the correct answer, as it accurately represents the calculated gage block height for a sine plate