SOLUTION: Two points X and Y, 7 metres apart are on the same horizontal ground. The angles of elevation of a point P from X and Y are 50° and 70° respectively. Q is a point on XY produced

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Question 1163472: Two points X and Y, 7 metres apart are on the same horizontal ground. The angles of elevation of a point P from X and Y are 50° and 70° respectively. Q is a point on XY produced such that ∠YQP = 90°.
(i) Illustrate the information in a diagram.
(ii) Calculate, correct to two decimal places, the length
(α) XP
(β) YQ
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




You can do your own arithmetic.

I think Ikleyn missed on this one. X, Y, and P are in the same plane because any three points define a plane, further Q is coplanar with X, Y, and P because Q is given to be on the line segment XY.


John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

As posted, the problem formulation is  INCORRECT  or at least confusing.

To be correct and clear,  it  MUST  SAY  at the very beginning that the points  X,  Y  and  Z  are in one vertical plane.


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As a reminder :   we live in  3D-space.


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John,  before argue with me,  PLEASE  read my post from the beginning to the end.

I said  "in one vertical plane."

Do you see the difference  ?