Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.

x = 7.4

Step-by-step explanation:

cos(42°) = x/10 or distance from bases / rope length

Using the calculator find the value of cos(42°):

cos(42°) = 0.74 = x/10

Find x using the value of cos(42°):

x/10 = 0.74

x = 7.4

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

the k side

step-by-step explanation:

plese mark mde brainliest!