# 5.2.2 Trigonometric Ratios, PT3 Focus Practice

 
 
Question 4:
 
In the diagram, PQR and QTS are straight lines.

 
 
 
 
It is given that $\mathrm{tan}y=\frac{3}{4}$ , calculate the length, in cm, of RS.
 
 

Solution:
     

 
 
 
 
 
Question 5:
 
In the diagram, PQR is a straight line.
 
 
 
 
 
 It is given that   $\mathrm{cos}{x}^{o}=\frac{3}{5}$  , hence sin yo =
 
 
 
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Solution:
 
 

 
 
 

 
 
 
 
        
Question 6:
 
In diagram below, ABE and DBC are two right-angled triangles ABC and DEB are straight lines.
 
 
               
 (a) Find the value of tan xo.
 (b) Calculate the length, in cm, of DE.
 
 Solution: