Sails for the yacht

This task is about using trigonometry to calculate lengths of a triangle.
sails-for-the-yacht-diagram.png
[Not drawn to scale]
 
Maia is drawing a pattern so she can make two sails for her yacht.
She calculates the lengths of sides x and y using the measurements above and trigonometry.
 
a)
Calculate the length of side x. Use the space provided to show your working.
 
 
 
 
 
 
Length of side x = __________ metres.
 
b) i)
Use trigonometry to show two different ways Maia could find the length of side y.
Use the numbers in the diagram above.
  
1:
 
 
 
 
 
 
 
2:
 
 
ii) 
 
Use one of your methods to calculate the length of side y. 
 
 
 
 
 
 
Length of side y = ________ metres.