SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Trigonometry, 2ADV EQ-Bank 5 MC

A tower \(B T\) has height \(h\) metres.

From point \(A\), the angle of elevation to the top of the tower is 26° as shown.
 

Which of the following is the correct expression for the length of \(A B\) ?

  1. \(h\, \tan 26^{\circ}\)
  2. \(h\, \cot 26^{\circ}\)
  3. \(h\, \sin 26^{\circ}\)
  4. \(h\, \operatorname{cosec}\, 26^{\circ}\)
Show Answers Only

\(B\)

Show Worked Solution
\(\tan 26^{\circ}\) \(=\dfrac{h}{AB}\)  
\(AB\) \(=\dfrac{h}{\tan 26^{\circ}}\)  
\(AB\) \(=h\,\cot 26^{\circ}\)  

 
\(\Rightarrow B\)

Filed Under: Trig Ratios, Sine and Cosine Rules Tagged With: Band 4, smc-6392-20-Trig Ratios

Copyright © 2014–2026 SmarterEd.com.au · Log in