Question

Determine the length of x in the triangle. Give your answer to two decimal places.

Answer 1

Step 1:

In this question, we are meant to determine the length of x in the triangle.

We are also expected to give your answer to two decimal places, using the diagram below:

Step 2;

Using Pythagoras' theorem, we have that:

`\sin 20^0=\text{ }(12)/(x)`

Making x, the subject of the formulae, we have that:

`x\text{ = }(12)/(\sin 20^0)`
`x\text{ =}(12)/(0.3420)`
`\begin{gathered} x\text{ = 35. 0877193} \\ x\text{ }\approx\text{ 35. 09 ( two decimal places)} \end{gathered}`

CONCLUSION:

The length of x in the triangle = 35. 09 ( two decimal places)