Final answer:
The correct pair of projectile angles for which the horizontal range will be the same, under the condition of no air resistance, is 27 degrees and 63 degrees because their sum equals 90 degrees.
Step-by-step explanation:
The question is asking for the pair of projectile angles for which the horizontal range would be the same. In projectile motion, without air resistance, the range of the projectile will be the same for complementary angles that add up to 90 degrees. This is due to the symmetry of the projectile's trajectory. Therefore, the correct answer is the pair of angles whose sum is 90 degrees.
Looking at the provided options:
- a) 45,55 - Their sum is 100, which is not equal to 90.
- b) 27,63 - Their sum is 90, which means that this is the correct pair.
- c) 58,64 - Their sum is 122, which is not equal to 90.
- d) 33,85 - Their sum is 118, which is not equal to 90.
Thus, the pair of angles for which the horizontal range will be the same is 27 degrees and 63 degrees.