Question

Look at photo for accurate description thank you for help

Answer 1

For the given question, we will find the value of x

As shown, there is a right angle triangle

The opposite side to the angle 2.5° = x

The adjacent side to the angle 2.5° = 5 ft

Using the tan function:

`\begin{gathered} \tan 2.5=(opposite)/(adjacent) \\ \\ \tan 2.5=(x)/(5) \\ \\ \end{gathered}`

Using the cross product, the value of x will be:

`x=5\cdot\tan 2.5=0.2183`

the answer will be in inches, so we will convert ft to in

so, as 1 foot = 12 inches

`x=0.2183\cdot12=2.61966\text{ in}`

Rounding to the nearest tenth

so, the answer will be x = 2.6 in