Question

You are 50 ft from the screen at a drive-in movie. The angle of elevation to the too of the sereen is 58°. How tall is the screen?

Answer 1

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.