Question

find d.

(image of a right triangle with angles 60°, 30°, right angle, hypotenuse 8 yd, side d opposite 30°? wait, no, looking at the triangle: right angle, 60° at top left, 30° at bottom right, hypotenuse 8 yd, side d is one leg. then: write your answer in simplest radical form.

blank yards

Explanation:

Step1: Identify side-angle relationship

The triangle is right-angled, so use sine of 30°:
$\sin(30^\circ) = \frac{d}{8}$

Step2: Solve for d

Substitute $\sin(30^\circ)=\frac{1}{2}$:
$d = 8 \times \sin(30^\circ) = 8 \times \frac{1}{2}$

Step3: Simplify the expression

Calculate the product:
$d = 4$

Answer:

4 yards