A student casts a shadow of 2.8 m. Another student, who is taller, stands in the same spot at the same time of day. If the drawings are to the same scale, what length shadow would the taller student cast?
If the taller student is taller than the first student, then they would cast a longer shadow. Assuming the scale is the same, we can use proportions to solve for the length of the taller student's shadow.
Let x be the length of the taller student's shadow. We can set up a proportion:
2.8 m (length of first student's shadow) = x m (length of taller student's shadow)
2.8 / x = 1 (since the scale is the same)
2.8 = x
Therefore, the taller student would cast a shadow of 2.8 meters.