Question

OOnly question 4For questions 1 – 5, answer the questions about triangles.**When answers are not a whole number, please write the exact answer (radical form) AND a decimal approximation**

Answer 1

SOLUTION:

Case: Trigonometry

Method:

Step 1: Start with the diagram

From te diagram above, theline representing the altitude sis a perpendicular bisector.

We will aply Pythagoras' therrem to solve the problem ioffindin g 'h'

Step 2:

$\begin{gathered} 11^2+h^2=22^2 \\ 121+h^2=484 \\ h^2=484-121 \\ h^2=363 \\ h=\sqrt{363} \\ h=\sqrt{121\times3} \\ h=11\sqrt{3}(exact\text{ }value) \\ h=19.05(2\text{ }decimal\text{ }places) \end{gathered}$

Final answer:

$\begin{gathered} h=11\sqrt{3}(exact\text{ }value) \\ h=19.05(2\text{ }dp) \end{gathered}$