Question

Solve for x. Round to the nearest tenth of a degree, if necessary.

I
53,
23
K
xo

Answer 1

Using the sine ratio, the value of x in the right triangle, to the nearest tenth, is calculated as: x ≈ 25.7°.

What is the sine ratio?

The sine ratio, often denoted as sin θ, is a trigonometric function that represents the ratio of the length of the side opposite a given angle in a right triangle to the length of the hypotenuse.

Given that:

Reference angle, θ = x

hypotenuse length = 53

opposite side length = 23

Plug in the values:

sin x = 23/53

sin x = 0.4340

x ≈ 25.7° [nearest tenth]