Seemingly simple arc length problem I keep getting wrong

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Homework Help Overview

The problem involves determining the distance from a point to the base of a plateau given an angle of elevation and the height of the plateau. The subject area relates to trigonometry and right triangle properties.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between the angle of elevation and the height of the plateau, with one suggesting the use of the sine function to relate the sides of a right triangle. Others question the relevance of arc length in this context, indicating a potential misunderstanding of the problem setup.

Discussion Status

There is an ongoing exploration of interpretations regarding the problem's setup. Some participants are providing alternative perspectives on how to approach the problem, particularly in relation to the geometry involved.

Contextual Notes

The original poster mentions that the problem was presented among arc length problems, which may have influenced their initial interpretation. There is a lack of clarity regarding the definitions and assumptions related to the terms used in the problem.

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Homework Statement



Suppose you are headed toward a plateau 60 m high. If the angle of elevation to the top of the plateau is 25*, how far away from the plateau are you in meters?

Homework Equations



S = (theta)r

The Attempt at a Solution



In my head this translates as I am given theta and arc length and must find radius.

Radius = (arc length) / (angle measure)

25* is roughly 0.436332313 radians, 60 divided by that is roughly 137.51.

The correct answer is 128.67.

Why?
 
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i think you want to use
sin(t) = opposite/hypotenuse

draw a picture to understand why
 
Why are you talking about "arclength" at all? There is no arc or circle in this problem. You have a right triangle with one angle of 25 degrees and one leg of length 60.

I would interpret "distance to the plateau" as meaning on the flat- the "near side" of this triangle, not the hypotenuse as lanedance seems to be doing.
 
Fair bump as usual halls;)
 
Well darn, it was given among a bunch of arc length problems so i just assumed.
 

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