Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where
and
are 2 legs of the triangle, and
is the hypotenuse, aka the longest side of any triangle:

We know
and
and want 



Therefore,
is approximately 
Answer: 36 degrees
Step-by-step explanation:
subtract 5 from 30=25
add 11 to 25
25+11=36
Answer:
1020 raisins
Step-by-step explanation:
The problem tells you the number of raisins is proportional to the number of bags, so there will be "r" raisins in 12 bags:
r/12 = 680/8 = raisins/bag
r = (12/8)(680) = 1020
There will be 1020 raisins in 12 bags.
Answer:
47.56
Step-by-step explanation: