Question

Number 10Please just show the math and not the sentence explanations, I just want to use this problem as an example :)

Answer 1

Explanation

We are given the following right-angled triangle:

We are required to determine the indicated angle in the given figure.

This is achieved thus:

According to the image, we have:

$\begin{gathered} Opposite=9 \\ Adjacent=21 \end{gathered}$

Therefore, we have:

$\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ \tan\theta=\frac{9}{21} \\ \theta=\tan^{-1}(\frac{9}{21}) \\ \theta\approx23\degree \end{gathered}$

Hence, the answer is:

$23\degree$