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.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

What is the slope simplify your answer and write it as a proper fraction, improper fraction, or integer

Turner's mom measured his room to see how long the wallpaper border needed to be. if two walls are 15 feet long and two walls are 12 feet long, how long should the strip of border be cut?