Calculate distance from a point 100m from a plane given two angles

In summary, the conversation discusses the search for a formula to determine the height of a triangle with a base of 100 meters and angles of 8 degrees and 21 degrees. It is clarified that the question may not have enough information and a diagram may be helpful. It is also mentioned that there is no such thing as a "plane of 100 meters" and planes do not have a center. The question of whether this is a schoolwork question is also raised.
  • #1
robertadamplant
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I am looking for a formula.

From a horizontal plane of 100 meters; If angle on the left is 8 degrees and the angle on the right is 21 degrees at what distance from the centre of the horizontal plane will these two angles converge?
 
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  • #2
Your question above does not contain enough information for an answer. We will need more parameters to provide any meaningful answer.
 
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  • #3
This is not differential geometry.

There is no such thing as a 'plane of 100 metres', and planes do not have a centre.

I think the question you meant to ask is "a triangle has a base of 100 metres and sides at angles 8 degrees and 21 degrees from the base; what is the height of the triangle?". If this is not what you meant or you are unsure, draw a diagram.
 
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  • #4

1. How do you calculate the distance from a point 100m from a plane given two angles?

To calculate the distance from a point 100m from a plane given two angles, you can use the trigonometric functions of sine, cosine, and tangent. First, use the sine function to find the height of the plane from the point, then use the cosine function to find the hypotenuse of the triangle formed by the point, the plane, and the height. Finally, use the tangent function to find the distance from the point to the plane.

2. Can this calculation be done without using trigonometry?

No, this calculation requires the use of trigonometry as it involves finding the sides of a triangle using angles and a known side length.

3. What units should the angles be in for this calculation?

The angles should be in degrees for this calculation.

4. Is there a specific formula for this calculation?

Yes, the formula for calculating the distance from a point 100m from a plane given two angles is: tan(angle1) x 100m = distance from point to plane.

5. Can this calculation be used for any type of plane?

Yes, this calculation can be used for any type of plane as long as the given angles and distance from the point to the plane are known.

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