Question

Find the given angle to the nearest degree.

Answer 1

`\alpha=44\°`

Explanation:

By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle

In other words:

`tan(\alpha) = (opposite)/(adjacent)`

In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48

So:

`tan(\alpha) = (48)/(50)\\\\tan(\alpha)= 0.96`

Finally

`\alpha =arctan(0.96)\\\\\alpha=44\°`

Answer 2

Final answer is
`?=44` degree.

Explanation:

Using given information in the picture, we need to find the missing value of angle "?"

Apply formula of tangent function which is :

`\tan\left(\theta\right)=(opposite)/(adjacent)`

`\tan\left(?^o\right)=(48)/(50)`

`\tan\left(?^o\right)=0.96`

`?=\tan^(-1)\left(0.96\right)` degree

`?=43.830860672092581097187030418859` degree

Hence final answer is
`?=44` degree.