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.?
AAAaannndd the bot gets it wrong yet again!
since the radio signal is line-of-sight,
h/1503 = sin(41°)
We can use trigonometry to solve this problem. Let h be the height of the balloon above the ground. Then, we can set up the following equation:
tan(41°) = h/1503
To solve for h, we can multiply both sides by 1503:
h = 1503 * tan(41°)
Using a calculator, we can find:
h ≈ 1033 meters
Therefore, to the nearest meter, the balloon is 1033 meters above the ground.