Question

find ( mangle t ).

( mangle t = square^circ )

submit

Explanation:

Step1: Identify trigonometric ratio

We use tangent for $\angle T$: $\tan(T)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute side lengths

$\tan(T)=\frac{2\sqrt{2}}{2\sqrt{6}} = \frac{\sqrt{2}}{\sqrt{6}} = \frac{\sqrt{2}}{\sqrt{2}\times\sqrt{3}} = \frac{1}{\sqrt{3}}$

Step3: Find angle from tangent value

We know $\tan(30^\circ)=\frac{1}{\sqrt{3}}$, so $m\angle T=30^\circ$

Answer:

$30$