A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole. The angle of depression from the top if the pole is 43 degrees. What is the length of the wire?

Step-by-step explanation:

Refer the given figure.

The length of wire is CB.

Given that AB = 20 feet

∠ACB = 47°

We have

Length of wire = 27.35 feet

Step-by-step explanation:

angle of depression, θ = 43°

distance between the pole and the wire on the ground, d = 20 ft.

Let the length of the wire is L.

According to the diagram,

Cosθ = d / L

Cos 43 = 20 / L

0.73 = 20 / L

L = 27.35 ft

Thus, the length of the wire is 27.35 ft.

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

answer: it's d

step-by-step explanation: