Final answer:
The value of y in a right-angled triangle at 30° angle with a hypotenuse of 7 feet is 7 sin(30°), which equals 3.5 feet.
Step-by-step explanation:
The question asks for the value of y in a right-angled triangle where ZA is a right angle, the hypotenuse AL is 7 feet long, and the angle ACB (which is adjacent to y) is 30°. To find y, we can use the sine, cosine, or tangent function based on the sides of the triangle the question pertains to.
Since y represents the leg opposite the 30° angle, and we are given the hypotenuse, the sine function is relevant here. The sine function is defined as sin(θ) = opposite/hypotenuse. Thus, the length of y can be given by the formula 7 sin(30°). Since sin(30°) is equal to ½, y would simply be half of the hypotenuse. Therefore, the correct answer would be 7 sin(30°) or simply 3.5 feet.