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A Street Light Is at the Top of a 16 Ft Tall Pole. a Woman 6 Ft Tall Walks Away From More in Details

DRAW the picture...let x = distance the tip of the shadow isfrom the pole and let s = shadow length...you appear to want dx/dt when x = 50....interesting is that dx/dt is a constant, independent of the value for x....similar triangles yields 16/6 = x/s and given is that 8 = dx/dt - ds/dt = walking speed. ..thus 8/3 ds/dt = dx/dt. ..or /[ dx/dt - 8 ] = dx/dt. .....solve to find 64/5ft/sec. ...note that shadow length changes at a rate of 24/5 ft/sec

A Street Light Is at the Top of a 16 Ft Tall Pole. a Woman 6 Ft Tall Walks Away From More in Details 1

1. A street light is mounted at the top of 5.4-meter-tall pole.?

You would get answers if this were under Mathematics. Relted rates problem- use Pythagorean Theorem Where is the tip of his shadow when he is x from pole? Call it D 5.4/D = 1.8/(D-x) similar triangles | | |............|... .....x.......D-x 5.4(D-x) = 1.8D 3.6D = 5.4x D = 1.5x Get time into it by x=1*t, t in seconds: D = 1.5t Question is what is D' at certain t, but D' = 1.5 for all t, so do not need to figure out when he is 10 m from pole! Answer = 1.5 (shadow speed is related to his speed)

2. Who would i talk to, to get a street light repaired?

electric company

A Street Light Is at the Top of a 16 Ft Tall Pole. a Woman 6 Ft Tall Walks Away From More in Details 2

3. How does the stop and go street light know when a car is waiting?

Sensors in the pavement

4. how do you find the shadow of a 5 ft tall person if he or she is 30 ft away from a 20 foot tall street light?

First you visualize the problem-it helps to draw it out. If you do this you can calculate the slope of the line from the top of the light pole to the person-ie, (20-5)/30=0.5 = slope = rise over run. Then you make a new equation for the light ray from the top of the person to the ground, using the same slope. So rise over run=slope = 0. 5 = 5/x Solving this you get x=10 so the shadow would be 10 feet long

5. What are the various test needed to be carried out before commissioning a street light?

Street lamps come in two basic forms, the column type or the wall bracket type.The wall bracket type has the control equipment (incoming terminals, time clock, photo detector etc.) on the bracket, so elevated access is essential. The column type has the control gear at ground level. But some sort of service vehicle is still needed to erect it.PreparationsA trunking route for the supply cable will have to be laid. In most cases the lamp will be in the middle of the string, so two such routes will be needed.Pull the cable inMegger it to check for damageTerminate the feed end in a breaker and lock open.ErectionFor bracket types drill and plug the wall and bolt the fitting upRoute the trunking and cables into the control box. For columnar lamps excavate a pit. Erect the column with the lifting apparatus on the vehicle and check the alignment. Thread the cables and ducts into the control chamber and backfill and compact the hole. Do not remove the lifting device until the footing is solid. ConnectStarting from the far end butt the cables and connect to the supply terminal blocks.Set the timing deviceSecure the connection chamber.TestingWhen the last lamp is finished, de-isolate, switch on and monitor the time clock operation. If possible (the access permits may only allow one visit) return to each lamp, overuse the time clock, and check the luminaire operates. Set the time clock.Report any defective lamps for maintainence. (Column lights, in particular, require specialist access vehicles). What are the various test needed to be carried out before commissioning a street light?

6. I saw a camera on a street light, its super small n short on a street light, looked it up on site, wasnt there?

Its a spoof,

7. how do you find the shadow of a 5 ft tall person if he or she is 30 ft away from a 20 foot tall street light?

This is a basic geometry question which uses the axiom that the ratio of similar triangles are equal. This means that the ratio of the triangle created by the person's shadow and the triangle created by the light with respect to the person should be equal. | | | 20_________________ | |___________________5 |________30_________|_____X_______ If the length of the shadow created by the person is equal to X then the total distance to the head of the shadow from the light pole will equal 30 x Since the ratio of the triangles should be equal we get this equation. 20/(30 x) = 5/x Doing the math, you get 20x = 150 5x which simplifies to 15x = 150 which means x = 10 Therefore, the length of the shadow is 10 feet long. p.s. People, these ARE NOT congruent triangles. Congruent triangles have three sides that are congruent, meaning equal, and three angles that are congruent. This problem demonstrates the properties of SIMILAR triangles.

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