Question

What is the length w of the right triangle, rounded to thenearest tenth?24.8240W

Answer 1

The right angled triangle has a reference angle labelled 24 degrees.

Also it has the opposite side (the side facing the reference angle) measuring 24.8 units. The adjacent side (the side between the right angle and the reference angle) is labelled w. Therefore we would have the following trigonometric ratio;

`\begin{gathered} \tan \theta=(opp)/(adj) \\ \tan 24=(24.8)/(w) \\ 0.44522\ldots=(24.8)/(w) \\ \text{Cross multiply and you'll have} \\ w=(24.8)/(0.44522) \\ \\ w=55.701711\ldots \\ w\approx55.7\text{ (rounded to the nearest tenth)} \end{gathered}`