Question

Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation

Answer 1

Angle x = arc tangent (7 / 24)
Angle x = arc tangent ( 0.291666666...)

Answer 2

`tan^(-1)((7)/(24) )`

Explanation:

In the given triangle length of the legs have been given as 7 and 24 units

We have to form the equation to solve for x.

We will apply tan in the given triangle

tanx =
`\frac{\text{opposite leg}}{\text{adjacent leg}}`

tanx =
`(7)/(24)`

So x =
`tan^(-1)((7)/(24) )`

Therefore, x =
`tan^(-1)((7)/(24) )`