Answer:
x = 28
y = 14√3 ≈ 24.2
Step-by-step explanation:
As one of the acute angles in the given right triangle is 30°, the triangle is a special 30-60-90 triangle, with sides in the ratio 1 : √3 : 2.
This means that the side opposite the 60° angle is √3 times the length of the shortest side (the side opposite the 30° angle), and the hypotenuse is twice the length of the shortest side.
Given that the side opposite the 30° angle is 14 units, with x as the hypotenuse and y as the side opposite the 60° angle, then:
[tex]x = 2 \times 14 = 28[/tex]
[tex]y = 14 \times \sqrt{3}=14\sqrt{3}[/tex]
