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You are lying on the ground, and the angle of elevation to the top of the screen is 40 degrees. How far are you from the screen? (Round your answer to two decimal places.)

a) Not enough information provided
b) 1.54 meters
c) 1.00 meter
d) 0.84 meters

1 Answer

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Final answer:

The correct answer to the trigonometry question is 'a) Not enough information provided'. Without the height of the screen, we cannot calculate the distance using the angle of elevation.

Step-by-step explanation:

The question relates to trigonometry and specifically to the calculation of a distance using the tangent trigonometric function. According to given information and trigonometric principles, the distance to the screen (x) can be found using the tangent of the angle of elevation (Θ) and the known height (y), with the formula x = y / tan(Θ). Given that the angle provided is 40 degrees, and assuming the height of the screen is known (which is not specified in the question), the distance (x) could be computed with accurate measurements.

However, since the question does not provide the height of the screen or any additional context necessary to solve the problem, the correct answer would be 'a) Not enough information provided'. Without the height of the screen, there is no way to calculate the distance using the angle of elevation provided.

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