Question

Please help me solve

Answer 1

Let's find

$\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}$

$\\ \rm\Rrightarrow tan\theta=\dfrac{22}{30}$

$\\ \rm\Rrightarrow tan\theta=\dfrac{11}{15}$

$\\ \rm\Rrightarrow tan\theta=0.734$

$\\ \rm\Rrightarrow \theta=tan^{-1}(0.734)$

$\\ \rm\Rrightarrow \theta=36.278°$

$\\ \rm\Rrightarrow \theta=36.3°$

Answer 2

Answer:

x = 36.3°

using tane rule:

$\sf tan(x)= \dfrac{opposite}{adjacent}$

Here!

• x = missing angle

• opposite = 22

• adjacent = 30

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$\hookrightarrow \sf tan(x) = \dfrac{22}{30}$

$\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )$

$\hookrightarrow \sf x= 36.253^{\circ \:}$

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