Solving Angle of Elevation Problem: 200 ft, 70°, 82°

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In summary, the problem involves finding the height of a flagpole using the angles of elevation from a known point. The solution can be approached by identifying right-angled triangles and using trigonometric functions. The Law of Sines is not necessary for this problem.
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AddversitY
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Homework Statement


There is a flag mounted at the top of a building. The angle of elevation from a point 200 ft. to the flagpole's base is 70°, and the angle of elevation from the same point to the top of the flagpole is 82°, find the height of the flagpole.


Homework Equations


Law of Sines? SinA/a = SinB/b



The Attempt at a Solution


I don't really know how to set this problem up...could somebody point me in the right direction? I'm not asking for an answer, just some guidance. Please..
 
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  • #2
Try make a diagram of the situation. Can you identify any right-angled triangles?
 
  • #3
Hi AddversitY! :smile:
AddversitY said:
Law of Sines? SinA/a = SinB/b

Nothing so complicated …

you have two right-angled triangles, just use ordinary trig. :wink:​
 

Related to Solving Angle of Elevation Problem: 200 ft, 70°, 82°

1. What is the angle of elevation in this problem?

The angle of elevation is the angle between the horizontal and the line of sight from the observer to the object. In this problem, there are two angles of elevation: 70° and 82°.

2. How do you solve for the missing angle of elevation?

To solve for the missing angle of elevation, you can use the trigonometric function tangent (tan). Set up a ratio using the given measurements and solve for the missing angle using inverse tangent (tan⁻¹) on your calculator.

3. What is the significance of the given distance of 200 ft?

The distance of 200 ft is the distance between the observer and the object. It is important because it is one of the measurements needed to solve for the angles of elevation.

4. Can this problem be solved without using trigonometric functions?

Yes, this problem can also be solved using the Pythagorean theorem. However, you would need to know the height of the object in addition to the given measurements of distance and angles of elevation.

5. How can this type of problem be applied in real life?

Problems involving angles of elevation can be applied in various fields such as architecture, engineering, and surveying. For example, architects need to determine the angle of elevation to properly design buildings and structures. Engineers also use this concept in designing bridges and roads. Surveyors use angles of elevation to measure the height of land masses and structures.

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