Question

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

Answer 1

NC = 7.7

C = 63.6°

T = 26.4°

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) = (Adj)/(Hyp)`

`Cos(T) = (15.4)/(17.2)`

`T = cos^(-1)((15.4)/(17.2))`

T ≈ 26.4°

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

C = 63.6°