The diagram below , not drawn to scale , shows three points R , S and F on the horizontal ground . FT is a vertical tower of height 25 m .The angle of elevation of the top of the
tower , T , from R is 27o

. R is due east of F ,and S is due south of F . SF = 43.3 m.

(ii) Show , by calculation , that RF = 49.1 m ( 2 marks )



(iii) Calculate the length of SR correct to 1 decimal place. ( 2 marks )





(iv) Calculate the angle of elevation of the top of the tower , T , from S. ( 2 marks )




T
25 m
F
43.3 m

S

R
(i) Sketch separate diagrams of the
triangles RFT , TFS and SFR .
Mark on EACH diagram the given measures
of sides and angles.