Trigonometry Question Please help and thanks! Robin xxx?

Posted on 2017-03-28 19:00:00 in Math by ROBIN

Hi! I have a slightly challenging (as I am not really good at Maths) trigonometry question that I would love someone to help me understand how to do it and to explain all aspects with working. Thank you all so much in advance, and I hope you all have a nice day! 

Robin xxx 

QUESTION 
From point A, Prince Harry can see Rapunzel standing at the window, W, of her castle at an angle of elevation of 40 Degrees. 
Rapunzel then ascends 20m to the roof of the castle, R, and her angle of elevation from Prince Harry is now 55 Degrees. 
Let AB be x metres and BW be y metres. 
i) Explain why x=y tan 50 Degrees 
ii) By considering Triangle ABR, find another expression for x. 
iii) Calculate the height of the castle correct to 1 Decimal Place.

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