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In the triangle below, x=°. Round to the nearest tenth.

In the triangle below, x=°. Round to the nearest tenth.-example-1
User Liori
by
8.0k points

2 Answers

8 votes

Answer: 38.6 degrees

Explanation:

Hi!

Imagine X = Theta

Cos of theta = adjacent side / hypothenuse

Hypothenuse = 8^2 + 10^2 = 64 + 100 = 164^2

Hypothenuse = 12.8

Because we want to find an angle and not a side, we have to use the function of cos to the -1.

Cos of theta to the -1 = 10/12.8

Theta = 38.6 degrees.

X = 38.6 degrees

And as a bonus, you can calculate y by dividing 30 and 90 to 180 degrees.

So, Y = 180-38.6-90 = 51.4 degrees

User Jroesch
by
7.5k points
9 votes

Answer:

x ≈ 38.7°

Explanation:

using the tangent ratio in the right triangle

tan x =
(opposite)/(adjacent) =
(8)/(10) , then

x =
tan^(-1) (
(8)/(10) ) ≈ 38.7° ( to the nearest tenth )

User Gilles Heinesch
by
8.3k points

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