Question

Find X. Round to the nearest tenth of degree.

Answer 1

`x=49.16^(\circ)`

Explanation:

We need to find the value of x in the given figure.

It is a right angled triangle, in which base is 19, height is 22.

We can use trigonometry to find x.

We know that,

`\tan\theta=(P)/(B)`

Where

P is perpendicular and B is base

So,

`\tan x=(22)/(19)\\\\x=\tan^(-1)(1.157)\\\\x=49.16^(\circ)`

So, the value of x is equal to
`49.16^(\circ)`.