An airplane is 25 km north and 45 km east of an airport. It is 7 km up in the air. What is the angle of elevation of the airplane, from the point of view of the airport?
a. 7.6°
c. 8.6°
b. 7.7°
d. 7.9°
To determine the angle of elevation of the airplane, we can use the following formula:
Angle of elevation = atan(opposite/adjacent)
In this case, the opposite side is the vertical distance (7 km) and the adjacent side is the horizontal distance (45 km). Thus, the angle of elevation can be calculated as follows:
Angle of elevation = atan(7/45) ≈ 8.6°
Therefore, the correct answer is:
c. 8.6°