Archimedes went to sleep beside a big rock. He Wanted to get up at 7 AM, but the alarm clock was yet to be invented. He decided to sleep at the spot where the rocks shadow should end when it’s 7 AM so as to be awakened by the direct sunlight. Archimedes knee that at 7 AM, the sunlight reaches the ground at angle of 31°. The rock besides which he slept was 5 m tall. How far from the rock did Archimedes go to sleep.

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.