A meteorologist measures the angle of elevation of a weather balloon as 41°. A radio signal from the balloon indicates that it is 1,503 meters from his location. To the nearest meter, how high above the ground is the balloon? (1 point) Responses 986 m 986 m 1,134 m 1,134 m 1,307 m 1,307 m 2,291 m
To find the height of the balloon, we can use trigonometry.
We can use the tangent function:
tan(angle) = height / distance
tan(41°) = height / 1503 meters
height = tan(41°) * 1503 meters
height ≈ 1134 meters
Therefore, the balloon is approximately 1,134 meters above the ground.
So, the correct answer is: 1,134 m