A meteorologist measures the angle of elevation of a weather balloon as 41°. A radio signal from the balloon that it is 1,503 m from his location. To the nearest meter, how high above the ground is the balloon.?
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 represent the height of the balloon above the ground as h. Then, we have:
tan(41°) = h / 1503
Solving for h, we get:
h = tan(41°) x 1503
Using a calculator, we find:
h ≈ 1134.06
Therefore, the answer is option b. The balloon is approximately 1,134 meters above the ground.