find m∠t.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠t = □°
find m∠t.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠t = □°
Answer
Explanation:
Step1: Identify the tangent - ratio
In right - triangle $UTS$, $\tan T=\frac{US}{UT}$. Given $US = 5$ and $UT = 3$. So, $\tan T=\frac{5}{3}$.
Step2: Find the angle
We know that if $\tan T=\frac{5}{3}$, then $T=\arctan(\frac{5}{3})$. Using a calculator, $T=\arctan(\frac{5}{3})\approx59.036^{\circ}$. Rounding to the nearest tenth, we get $T\approx59.0^{\circ}$.
Answer:
$59.0$