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15. What is x to the nearest tenth?

А
2
62
44
C.c

B
78
A 37.5
B 52.5
© 75.0
D 103.0

15. What is x to the nearest tenth? А 2 62 44 C.c B 78 A 37.5 B 52.5 © 75.0 D 103.0-example-1
User Kburns
by
7.8k points

2 Answers

13 votes

Answer:

................

D 103.0

User Rubens Mariuzzo
by
8.9k points
6 votes

The nearest tenth options closest one is: A

To find the measure of angle B in the triangle, you can use the Law of Cosines,


c^2 = a^2 + b^2 - 2ab cos(C).


a = AB = 44, b = BC = 78 and
AC =62

let C be the angle B.


62^2 = 44^2 + 78^2 - 2 * 44 * 78 * cos(B).

Now, solve for cos(B):


cos(B) = (62^2 - 44^2 - 78^2) / (-2 * 44 * 78)


B = cos^(-1)((62^2 - 44^2 - 78^2) / (-2 * 44 * 78))

The angle B and round to the nearest tenth.


B = cos^(-1)((-5176) / (-6864))


B = cos^(-1)(0.754))

B ≈ 41.6°.

Therefore, the nearest tenth is B ≈ 41.6 °, options closest one is: (A) 37.5.

User LoveMeow
by
8.3k points

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