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.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.