Question

Please help me solve

Answer 1

Let's find

`\\ \rm\Rrightarrow tan\theta=(Perpendicular)/(Base)`

`\\ \rm\Rrightarrow tan\theta=(22)/(30)`

`\\ \rm\Rrightarrow tan\theta=(11)/(15)`

`\\ \rm\Rrightarrow tan\theta=0.734`

`\\ \rm\Rrightarrow \theta=tan^(-1)(0.734)`

`\\ \rm\Rrightarrow \theta=36.278°`

`\\ \rm\Rrightarrow \theta=36.3°`

Answer 2

x = 36.3°

using tane rule:

`\sf tan(x)= (opposite)/(adjacent)`

Here!

• x = missing angle

• opposite = 22

• adjacent = 30

=============

`\hookrightarrow \sf tan(x) = (22)/(30)`

`\hookrightarrow \sf x= tan^(-1)((22)/(30) )`

`\hookrightarrow \sf x= 36.253^(\circ \:)`

`\hookrightarrow \sf x= 36.3^(\circ \:)` ( rounded to nearest tenth of a degree)