The sample space is: (1, 1); (1, 2) - sum of 3; (1, 3); (1, 4); (1, 5) - sum of 6; (1, 6); (2, 1) - sum of 3; (2, 2); (2, 3); (2, 4) - sum of 6; (2, 5); (2, 6); (3, 1); (3, 2); (3, 3) - sum of 6; (3, 4); (3, 5); (3, 6) - sum of 9; (4, 1); (4, 2) - sum of 6; (4, 3); (4, 4); (4, 5) - sum of 9; (4, 6); (5, 1) - sum of 6; (5, 2); (5, 3); (5, 4) - sum of 9; (5, 5); (5, 6); (6, 1): (6, 2); (6, 3) - sum of 9; (6, 4); (6, 5); (6, 6)
(If you want your answer in a different format, let me know please.)
Step-by-step explanation:
I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.
But I think they want you to use the formula:
.
Input into calculator:
(approximation)
l represents the length of the roof.
So we have l=46.188 and b=40.
We must use the Pythagorean Theorem to find the height,h, for of the roof.
l is the hypotenuse.
Subtract 1600 on both sides:
Take square root of both sides:
The answer is 23.094 feet for the height that roof reaches on the building.
I want to show you another way:
Multiply both sides by 40:
Input into calculator:
I didn't do it this way because your problem suggested you use their formula to find the height.