If an elevation that is cruising at an altitude of 9 km wants to land at NAIA iys must begin its descent so that the angle of depression to the airport is 7 degrees. What is its illustration and the answer
118.65 m Answer
To find the illustration and the answer, we can break down the problem into two parts:
1. Finding the distance between the plane and the airport:
To determine the distance between the plane and the airport, we can use the tangent function. The tangent of the angle of depression is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the altitude (9 km) and the adjacent side is the distance to the airport (unknown). Thus, we have the following equation:
tan(7 degrees) = (opposite side) / (adjacent side)
tan(7 degrees) = 9 km / (adjacent side)
Rearranging the equation, we can calculate the adjacent side (distance to the airport):
(adjacent side) = 9 km / tan(7 degrees)
Using a scientific calculator, you can input 7 degrees, calculate the tangent, and then use that value to divide 9 km. The answer will give you the distance between the plane and the airport.
2. Illustrating the situation:
To create an illustration of the situation, you can draw a straight line to represent the ground level. Then, draw a line perpendicular to the ground starting from the plane's original position at 9 km altitude and extending downwards. This line represents the angle of depression of 7 degrees. Finally, mark a point on the ground that represents the airport and measure the distance from the original position of the plane to the airport according to the value we calculated earlier.
By following these steps, you should be able to find both the illustration and the answer to the problem.
Answer
Math
If an elevation that is cruising at an altitude of 9 km wants to land at NAIA iys must begin its descent so that the angle of depression to the airport is 7 degrees. What is its illustration and the answer