Gabe is sitting in his boat and sees a famous building onshore which is known to be 250 meters tall. gabe sights the top of the building, and finds that the angle of elevation is 19°. about how far, in meters, is gabe from the base of the building? (disregard gabe's height from the water in your calculations.)

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Physics

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9 November, 01:51

Gabe is sitting in his boat and sees a famous building onshore which is known to be 250 meters tall. gabe sights the top of the building, and finds that the angle of elevation is 19°. about how far, in meters, is gabe from the base of the building? (disregard gabe's height from the water in your calculations.)

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Timothy Bishop · Answer 1

If we connect Gabe's current position to the top of the building, to the bottom of the building and back to Gabe, we form a right triangle with the height of 250 m and the angle opposite to the height being equal to 19°. If we let x be his distance from the building, we use the trigonometric formula,

tan 19° = x/250 m

The value of x from the equation is 86.08 m. Thus, the answer is 86.08 m.