Question

Isabella is making a huge flag of her country, the republic of seychelles, on a canvas 20 by 10 meters long. To do that, she has to draw a diagonal that begins at the bottom-left corner and ends at the right side of the flag, at a height of 7 meters. Since the ends of the diagonal are too far to put a ruler between them, Isabella wanted to find the angle of the diagonal and draw it using a protractor. What is the angle of elevation, in degrees, of the diagonal? Round your final answer to the nearest tenth.

Answer 1

The angle of elevation of the diagonal, divide the opposite side by the adjacent side and take the inverse tangent. The angle of elevation of the diagonal in this case is approximately 19.1 degrees.

Step-by-step explanation:

To find the angle of elevation of the diagonal, we can use trigonometry. Since Isabella wants to find the angle at which the diagonal meets the height of 7 meters, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is 7 meters and the adjacent side is 20 meters. So the tangent of the angle of elevation is 7/20. By taking the inverse tangent of this ratio, we can find the angle in degrees.

Using a calculator, the inverse tangent of 7/20 is approximately 19.11 degrees.

Therefore, the angle of elevation of the diagonal is approximately 19.1 degrees.