Pregunta
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5 Mario places a laptop on a desk. He adjusted the screen
so that the screen is at an angle of with the desk.
What is the measure of the unknown angle? Explain.

Ask by Best Love. in the United States
Mar 24,2025

Solución de inteligencia artificial de Upstudy

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The unknown angle is .

Solución

In this scenario, we have a laptop screen positioned at an angle of with respect to the desk. To find the measure of the unknown angle, we need to consider the relationship between the angle of the screen and the angle formed with the vertical.
  1. Understanding the Angles:
    • The angle between the screen and the desk is .
    • The angle between the screen and the vertical (which is perpendicular to the desk) can be found using the fact that the sum of angles in a straight line is .
  2. Calculating the Unknown Angle:
    • The unknown angle (let’s call it ) can be calculated as:
Now, let’s perform the calculation:
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Subtract the numbers:

    The measure of the unknown angle is .
To summarize:
  • The screen is at an angle of with the desk.
  • The unknown angle between the screen and the vertical is .

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The Deep Dive

In this scenario, the measure of the unknown angle can be found by knowing that the total angle formed between the desk and the screen should be . Since Mario has adjusted the screen to with respect to the desk, the unknown angle, which is the angle between the vertical and the screen, can be calculated as follows:
Unknown angle = .
So, the measure of the unknown angle is .
Now you can visualize this by imagining a right triangle where the screen acts as one side, the desk is the horizontal base, and the angle between them forms a vertex! Fun, right?
Estimating angles like this can help in real-world applications! For instance, when setting up a projector or TV, you might want a specific angle to ensure optimal viewing comfort. Knowing how to calculate such angles can drastically enhance your tech setup, making it both functional and enjoyable!

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