Question

Find the missing side of the triangle below. Then evaluate the six trigonometric functions of the angle 0.

Answer 1

Concept:

We will solve the length of the missing side using the Pythagoras theorem below

`\begin{gathered} \text{hypotenus}^2=opposite^2+\text{adjacent}^2 \\ \text{where,} \\ \text{hypotenus}=a=25 \\ \text{opposite}=c \\ \text{adjacent}=b \end{gathered}`

By substituting the values, we will have

`\begin{gathered} \text{hypotenus}^2=opposite^2+\text{adjacent}^2 \\ 25^2=c^2+7^2 \\ 625=c^2+49 \\ \text{collect similar terms, we will have} \\ c^2=625-49 \\ c^2=576 \\ c=\sqrt[]{576} \\ c=24 \end{gathered}`

Hence,

The length of the missing side of the triangle = 24