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.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: