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10. The Angle of Depression of a Car from an Air Balloon Basket Is 40^circ . The Balloon Is Directly over a Water Tower That Is 5 Km

Problemas

10. The angle of depression of a car from an air balloon basket is 40^circ . The balloon is directly over a water tower that is 5 Km from the car.Find the altitude of the balloon.

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Francisca professionell · Tutor durante 6 años
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Respuesta

To find the altitude of the balloon, we can use trigonometry. Let's denote the altitude of the balloon as .Given:- Angle of depression: - Distance from the car to the water tower: 5 kmIn a right triangle, the tangent of an angle is the ratio of the opposite side (altitude) to the adjacent side (distance). Therefore, we can use the tangent function: Now, solve for : Using a calculator to find the tangent of : So, Therefore, the altitude of the balloon is approximately 4.1955 kilometers.