Question

A roof is inclined at an angle of 41.35 degrees. Find the complement of this angle.​

Answer 1

the complement of the angle is =
`48.65^o`

Explanation:

Recall that the complement of an angle, is the angle that added to the given one would render
`90^o`.

Therefore, to find the complement of the angle
`41.35^o` all we need to do is to find the angle
`\alpha` such that:

`\alpha +41.35^o = 90^o`

solving for the unknown angle
`\alpha`, we get:

`\alpha +41.35^o = 90^o\\\\\alpha =90^o-41.35^o\\\\\alpha =48.65^o`