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]