261,809 views
20 votes
20 votes
Find Y.

Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°

Find Y. Round to the nearest tenth. Z 8 ft 17 ft Х Y 16 ft Y= [?]°-example-1
User Winnemucca
by
2.5k points

2 Answers

9 votes
9 votes

Answer:

does any body have c?

Explanation:

User Seriously
by
2.8k points
19 votes
19 votes

Answer:

Y = 27.8°

Explanation:

Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C

Where,

c = 8

a = 17

b = 16

C = Y

Plug in the values

8² = 17² + 16² - 2*17*16*Cos Y

64 = 545 - 544*Cos Y

64 - 545 = -544*Cos Y

-481 = -544*Cos Y

Divide both sides by -544

-481/-544 = Cos Y

0.884191176 = Cos Y

Y = cos^{-1}(0.884191176)

Y = 27.8478491° ≈ 27.8° (nearest tenth)

User Rroy
by
2.8k points