Question

Find x. Round your answer to the nearest tenth of a degree.
15
x
10

Answer 1

x ≈ 48.2°

Explanation:

Using the cosine ratio in the right triangle

cos x =
`(adjacent)/(hypotenuse)` =
`(10)/(15)` , then

x =
`cos^(-1)` (
`(10)/(15)` ) ≈ 48.2° ( to the nearest tenth )

Answer 2

x is approximately 48.2.

Explanation:

Use the trig function of cosine, or adjacent over hypotenuse.

cos theta = adjacent / hypotenuse

Substitute variables.

cos x = 10 / 15

Apply inverse cosine to both sides.

x = cos^-1(10/15)

Evaluate.

x ≈ 48.2