Answer :
The distance from point A to point C, we can use trigonometry and the sine function. By rearranging the equation and calculating the value, we find that the distance from point B to point C is approximately 17.66 feet.
To find the distance that the box has to travel from point A to point C, we can use the concept of trigonometry. If the angle formed at point B is 62 degrees and the distance from point A to B is 10 feet, we can use the sine function to determine the distance from B to C. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. In this case, the opposite side is the distance from B to C, and the hypotenuse is the distance from A to C.
Therefore, we can write the equation as: sin(62) = (distance from B to C) / (distance from A to C)
To solve for the distance from B to C, we need to rearrange the equation:
(distance from B to C) = sin(62) * (distance from A to C)
Now, let's calculate the distance. Assume the distance from A to C is 20 feet: (distance from B to C) = sin(62) * 20
(distance from B to C) = 0.883 * 20
(distance from B to C) = 17.66 feet
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