SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Trigonometry, SMB-062

Find the value of \(x\), correct to 1 decimal place.   (3 marks)
 

Show Answers Only

\(x=8.8\ \text{m}\)

Show Worked Solution
\(a^2\) \(=b^2+c^2-2bc\ \cos A \)  
\(x^2\) \(= 5^2+9^2-2 \times 5 \times 9 \times \cos 72^{\circ}\)  
  \(= 78.188…\)  
\(\therefore x\) \(=8.842…\)  
  \(=8.8\ \text{m (1 d.p.)} \)  

Filed Under: Non Right-Angled Trig Tagged With: num-title-ct-pathc, smc-4553-10-Cosine Rule

Copyright © 2014–2025 SmarterEd.com.au · Log in