Answer:
w=15
Step-by-step explanation:
Andrew is wanting to build a slide for his daughter's tree house in the backyard. The tree house is approximately 5 feet off the ground and he wants the slide to have a 30 degree angle with the ground. He will need to by 10 ft of sliding board.
Split
into two component segments,
and
, parameterized by


respectively, with
, where
.
We have


where 
so the line integral becomes



Answer:
y = 10 when x = 5
Step-by-step explanation:
When x = 4, y = 8
Simplify. Divide 4 from both x and y
x = 4/4 = 1
y = 8/4 = 2
when x = 1, y = 2
Next, solve for when x = 5. Mutliply 5 to both x and y
x = 1 * 5 = 5
y = 2 * 5 = 10
y = 10 when x = 5
~