Question

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

Answer 1

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

Answer 2

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 )