# 15.2.2 Trigonometry, PT3 Focus Practice

 
        
Question 6:
 
In diagram below, AEC and BCD are straight lines. E is the midpoint of AC.
 

       
 (a) find the value of tan x.
 
(b) Calculate the length, in cm, of BD.  
 
 Solution:

       

 
        
Question 7:
 
In diagram below, T is the midpoint of the line PR.
 
 (a) Find the value of tan xo.
 (b) Calculate the length, in cm, of PQ.
 
 Solution:
               

 
 
 
        
Question 8:
 
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:
               

 
 

Question 9:
Diagram below shows a vertical pole, PQ. At 2.30 p.m. and 5.00 p.m., the shadow of the pole falls on QR and QS respectively.
Calculate
(a) the height, in m, of the pole.
(b) the value of w.

Solution:
(a)

(b)