Question

Find the length of NC, measure of angle C and the measure of angle T

Answer 1

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:

$Cos(T) = \frac{Adj}{Hyp}$

$Cos(T) = \frac{15.4}{17.2}$

$T = cos^{-1}(\frac{15.4}{17.2})$

T ≈ 26.4°

✔️C = 180 - (90 + 26.4) (sum of triangle)

C = 63.6°