What is the top of the flag pole above ground in inches?

13ft 10.2in

Step-by-step explanation:

First let's convert 3ft to in.

3 * 12 = 36 in

Now let's find the angle

We use tangent because we know the opposite and adjacent distances.

tan x = 36/13

tan x = 2.7692

On your calculator, input the value of your tangent. Then press "inv." This should give you the angle associated with that value. The angle associated with tan 2.7692 is 70.14 degrees.

Now that we know the angle we can find the height.

We use tangent again.

tan 70.14 = x / 5     We don't know the opposite but we know the adjacent length is 5ft.

2.77 * 5 = x

13.85 ft = x

To get it in ft and inches multiply .85 by 12

.85 * 12 = 10.2

13ft 10.2in

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is