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29 December, 12:58

A meteorologist measures the angle of elevation of a weather balloon with the ground as 41. A radio signal from the balloon indicates that it is 1503 m from his location. to the nearest meter, how high above the ground in the balloon?

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Answers (2)
  1. 29 December, 14:37
    0
    Here you would use right triangle trig (SOH CAH TOA)

    So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground. This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since

    sine = opposite/hypotenuse. Now lets solve make sure calculator is in degree mode:

    sin41 = x/1503 multiply both sides by 1503 to cancel it out

    1503sin41 = x plug into calculator

    x = 986.057 ft

    The balloon is 986.057 feet above the ground.
  2. 29 December, 16:35
    0
    In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

    The opposed leg to 41° is the height of the ballon.

    Then you can use the sine trigonometric function.

    sine (41°) = opposed leg / hypotenuse = x / 1503 m = > x = 1503m * sine (41°)

    => x = 986m.

    Answer: 986m
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