When the angle of elevation of the sun is 64°, a pole that is tilted at an angle of 19° directly away from the sun casts a shado
w 21 feet long on level ground. approximate the length of the pole to the nearest foot?
2 answers:
Answer:
Length of the pole is 27ft. ( rouding up to the nearest foot)
Explanation:
To solve this problem you need to understand that the the shadow cast by the pole on the ground connected to the pole itself and to the imaginary line of sun light forms a triangle with 3 different angles, please see the drawing to a better understanding.
* The sum of the internal angles of any triangle must be 180° then;
α: angle of the elevation of the sun= 64°
angle of the pole to the ground= (90-19)= 71°
β = 180 - ( 64+71) = 45°
*To find the length of the pole we can use the law of Sines;
|BC| / sin (α) = |AC| / sin (β)
|BC|= Length of the pole
|AC|= shadow of the pole on the ground which is known to be 21 ft
|BC| / sin (64°) = 21 / sin (45°)
|BC|= 21 x [sin (64°)/ sin (45°)]
|BC|= 21 x 1.27≅ 26.67 ft
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3. In a uniform electric field, the equation for the magnitude of the magnetic field is E=(V/d). V= voltage d= distance. If the magnetic field magnitude is constant , as stated in your problem, then the voltage must stay the same otherwise the value of "E" would change". And the problem already told us the "E" is uniform and so, not changing. Does that make sense?
4a. If the magnetic field lines are equally spaced apart, in other words share the same density. Then we know that the magnitude of the magnetic field is unchanging. This is because the density of of the magnetic field lines(how many are in a certain area) is related to the magnitude being expressed by the electric field. Greater magnitude is expressed by the presence of more lines (higher line density)
4b. The electric potential is measured in Volts(V) and is uniform along the same equipotential line. What is an equipotential line(gray)? It is a line drawn perpendicular(forms a right angle with) to the magnetic field lines(black) to show the changes in electric potential. One space where electric potential will always be the same because it will always be equal to 0 Volts is exactly in between a positive and negative charges of equal charge value I have pointed to this line with a purple arrow in my picture.
I really hope this makes sense to you and that my pictures help! :)
4a. If the magnetic field lines are equally spaced apart, in other words share the same density. Then we know that the magnitude of the magnetic field is unchanging. This is because the density of of the magnetic field lines(how many are in a certain area) is related to the magnitude being expressed by the electric field. Greater magnitude is expressed by the presence of more lines (higher line density)
4b. The electric potential is measured in Volts(V) and is uniform along the same equipotential line. What is an equipotential line(gray)? It is a line drawn perpendicular(forms a right angle with) to the magnetic field lines(black) to show the changes in electric potential. One space where electric potential will always be the same because it will always be equal to 0 Volts is exactly in between a positive and negative charges of equal charge value I have pointed to this line with a purple arrow in my picture.
I really hope this makes sense to you and that my pictures help! :)
Answer:
Explanation:
v = Velocidad final =
u = Velocidad inicial = 0
t = Tiempo empleado = 15 s
a = Aceleración
De las ecuaciones cinemáticas tenemos
La aceleración del camión en el primer intervalo de tiempo es .