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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?
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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.
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.
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