Final answer:
To find the value of m<1, we need to determine the angle between two vectors: (7y - 27) and (9x - 5). We can use the dot product formula to solve for m.
Step-by-step explanation:
To find the value of m<1, we need to determine the angle between two vectors: (7y - 27) and (9x - 5). The angle between two vectors can be found using the dot product and the formula: cos(m) = (A · B) / (||A|| * ||B||), where A and B are the given vectors and ||A|| and ||B|| are their magnitudes.
Given that the angle between the two vectors is 58°, we can use the formula to solve for m. From the equation, we have:
cos(58°) = ((7y - 27)(9x - 5)) / (√((7y - 27)²) * √((9x - 5)²))
By simplifying the equation and solving for y, we can determine the value of m<1.