Question

Solve the missing sides using Trig function Answers for question:A. 23.4B. 29.3C. 36.3D. 5.6F. 16.8

Answer 1

We are given one angle and the adjacent side of a right triangle and we are asked to find the opposite side using a trigonometric function. The trigonometric function that relates the opposite and adjacent sides is "tangent" since it is definine as follows;

`\tan \theta=\frac{\text{opposite}}{\text{adjacent}}`

In this case we have the following values:

`\begin{gathered} \text{Opposite}=x \\ \text{Adjacent}=12 \\ \theta=25^0 \end{gathered}`

Replacing the values we get:

`\tan 25=(x)/(12)`

Now we solve for "x" by multiplying by 12 on both sides:

`12\tan 25=x`

Solving the operations we got:

`5.59=x`

Therefore, the value of the missing sie is approximately 5.6