High School

Una antena parabólica, vista de lado, tiene forma de parábola. El receptor (que está en el foco) se encuentra a 112 centímetros de la parte inferior de la antena y la antena mide 98 centímetros de profundidad.

¿Qué tan ancha es la antena?

Answer :

Final answer:

The width of the satellite dish antenna is 49 centimeters.

Explanation:

To find the width of the antenna, we can use the concept of the focus-directrix property of a parabola. Since the receiver is in focus and 112 centimeters from the bottom of the antenna, we know that the distance from the top of the antenna to the focus is also 112 centimeters. The difference between the two distances (from top to bottom) is the depth of the antenna, which is 98 centimeters.

Therefore, the width of the antenna can be found using the formula for the distance between the directrix and the vertex of a parabola:

Distance between directrix and vertex = (Depth of antenna) / 2 = 98 / 2 = 49 centimeters

Thus, the width of the antenna is 49 centimeters.

Learn more about parabola here:

https://brainly.com/question/11911877

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Question in English is:

Find the measurements of dA satellite dish, seen from the side, has the shape of a parabola. The receiver (which is in focus) is 112 centimeters from the bottom of the antenna and the antenna is 98 centimeters deep. How wide is the antenna? the supplementary angles if the difference between these two is 35