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)
A.986 m
B.1,134 m
C.1,307 m
D.2,291 m
We can use trigonometry to solve this problem.
Let's assume the height of the balloon above the ground is 'h' meters.
From the given information, we have the angle of elevation, which is 41 degrees, and the distance from the meteorologist to the balloon, which is 1,503 meters.
Using the trigonometric ratio, tangent:
tan(41) = h / 1503
To find the value of h, we can rearrange the equation:
h = tan(41) * 1503
Now, let's calculate h:
h ≈ 0.869 * 1503
h ≈ 1306.407
To the nearest meter, the height of the balloon above the ground is 1,306 meters.
Therefore, the correct answer is C. 1,307 m.