A meteorologist measures the angle of elevation of a weather balloon at 41°. a radio signal from the ballon indicates that it is 1503 meters from his location. To the nearest meter, how high above the ground is the ballon?
We can use trigonometry to find the height of the weather balloon. Let h be the height of the balloon above the ground. Then, we have:
tan(41°) = h/1503
Simplifying this equation, we get:
h = 1503 * tan(41°)
Using a calculator to evaluate the right-hand side, we get:
h ≈ 1142 meters
Therefore, the weather balloon is about 1142 meters above the ground.