find $m\\angle t$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle…
find $m\\angle t$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle t = \\square^\\circ$\nsubmit
Answer
Explanation:
Step1: Identify sides relative to ∠T
In right triangle (RST), for (\angle T): Opposite side (RS = 5.3), adjacent side (ST = 2.6)
Step2: Use tangent ratio formula
The tangent of (\angle T) is (\tan(\angle T)=\frac{\text{opposite}}{\text{adjacent}}=\frac{5.3}{2.6})
Step3: Calculate arctangent of the value
(\angle T = \arctan\left(\frac{5.3}{2.6}\right)) Calculate (\frac{5.3}{2.6}\approx2.0385), then (\arctan(2.0385)\approx63.8^\circ)
Answer:
(63.8)