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

Find the length of NC, measure of angle C and the measure of angle T-example-1
User Adamh
by
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1 Answer

5 votes
5 votes

Answer:

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°

User Sachin Pangare
by
3.0k points