Answer: 80.015
Step-by-step explanation:
To determine the height of the screen, we can use the tangent function in trigonometry. The tangent function relates the angle of elevation (in this case, 58°) to the opposite side (the height of the screen) and the adjacent side (the distance from the screen, which is 50 ft).
The tangent function can be written as:
tan(angle) = opposite side / adjacent side
In this problem, we have:
tan(58°) = height of the screen / 50 ft
To find the height of the screen, we can rearrange the equation and solve for the height:
height of the screen = tan(58°) * 50 ft
Now, we can use a calculator to find the tangent of 58°:
tan(58°) ≈ 1.6003
Now, we can plug this value back into the equation:
height of the screen ≈ 1.6003 * 50 ft
height of the screen ≈ 80.015 ft
So, the screen is approximately 80.015 feet tall.