Answer:
NC = 7.7
C = 63.6°
T = 26.4°
Step-by-step explanation:
✔️Apply pythagorean theorem to find the length of NC:
NC = √(17.2² - 15.4²) = √58.68
NC ≈ 7.7
✔️Apply trigonometric function to find Angle T:
Reference angle = T
Hypotenuse = 17.2
Adjacent length = 15.4
Apply CAH, thus:
[tex] Cos(T) = \frac{Adj}{Hyp} [/tex]
[tex] Cos(T) = \frac{15.4}{17.2} [/tex]
[tex] T = cos^{-1}(\frac{15.4}{17.2}) [/tex]
T ≈ 26.4°
✔️C = 180 - (90 + 26.4) (sum of triangle)
C = 63.6°
