Use the diagram below to determine the height of the flag pole

The answer to your question is 51 ft

Step-by-step explanation:

For this problem, we will use the Thales' theorem

Height = h

Solve for h

                                                10h =  6(85)

                                                10h = 510

                                                   h = 510 / 10

                                                   h = 51 ft

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is