For problems 14 and 15, a drain pipe is to be laid between 2 points. One point is 15 feet higher in elevation than the other. The pipe is to slope at an angle of 12° with
the horizontal.
Find the length of the drain pipe. Round to 2 decimal
places.

Length of the drain pipe is 72.15 feet.

Step-by-step explanation:

From the figure attached,

A drain pipe is to be laid between two pints P and Q.

Point P is 15 ft higher than the other point Q.

Angle of elevation of point P from point Q is 12°.

Let the length of pipe is l feet.

By applying Sine rule in the given right triangle PRQ,

Sin(∠Q) =

Sin(12) =

0.20791 =

l = 72.15 ft

Therefore, length of the drain pipe is 72.15 feet.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a