I Solving For Right Triangles With A Twist

[tomtomtom1]

Hello Community

Firstly this is not a homework question despite the problem appearing to be very homework like.

I work in engineering. I am trying to determine the amount of clearance I have from a point on the ground to a wall.

I have two points, Point A and Point B.
Point A is 30mm Higher than Point B.
If I measure horizontally in the plane of points A and B to the nearest point on the wall I get 650 and vertically I get 800.
If I was to rotate point A about Point B such that Point A is now 90mm higher then Point B what would my new horizontally and vertical distance to the wall be?

After a few days working on this problem I cannot seem to make any progress.

Attached is a picture of the problem.

Can someone shed any light?

Thank You.

 

[PeroK]

Is the wall at an angle? I guess you've never done any geometry?

 

[berkeman]

Hello Community

Firstly this is not a homework question despite the problem appearing to be very homework like.

I work in engineering. I am trying to determine the amount of clearance I have from a point on the ground to a wall.

I have two points, Point A and Point B.
Point A is 30mm Higher than Point B.
If I measure horizontally in the plane of points A and B to the nearest point on the wall I get 650 and vertically I get 800.
If I was to rotate point A about Point B such that Point A is now 90mm higher then Point B what would my new horizontally and vertical distance to the wall be?

After a few days working on this problem I cannot seem to make any progress.

Attached is a picture of the problem.

Can someone shed any light?

Thank You.

Is the wall at an angle?

Yeah, and what angle is the wall tilted forward with? And can you label the horizontal distance from the right-most point "B" to the wall?

 

[tomtomtom1]

The Blue and Red arrows are pointed to a single point on the wall.

The sloped line on the wall has no importance as each wall varies in shape, so you can imagine the sloped line of the wall not really there.

Regarding comment "And can you label the horizontal distance from the right-most point "B" to the wall?" no other information is available other then what is shown on the picture.

From the information I can derive:-
the angle at point B of the blue and red lines
The adjacent sides of the red and blue triangles.

 

[mfb]

Which sloped line do you mean?

The given measurements are sufficient to find A and B. If in doubt, introduce a coordinate system and find the coordinates of every point, and angles if relevant.

 

[Nidum]

Do you have CAD available ? If you do then this problem can easily be solved graphically .

 

[robphy]

Another tool that might be helpful:
https://www.geogebra.org/
https://www.geogebra.org/apps/