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Find x and round to the nearest tenth.

Find x and round to the nearest tenth.-example-1

2 Answers

3 votes

Answer:

its actually 83 not 83.0

Explanation:

im only saying this bc i know people with type 83.0 in the box

User Yellowreign
by
4.7k points
0 votes

Answer:

83.0°

Explanation:

Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).

For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.

Thus, we would have this following:


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

Where,

C = X = ?

a = 8 ft

b = 16 ft

c = 17 ft

Plug in the stated values into the formula and solve for X


cos(X) = (8^2 + 16^2 - 17^2)/(2*8*16)


cos(X) = (320 - 289)/(256)


cos(X) = (31)/(256)


cos(X) = 0.1211


X = cos^(-1)(0.1211)


X = 83.0 (to nearest tenth)

User Lewislbr
by
4.5k points