Question

The relative locations of a swing set, a garden, and a sandbox in Gina's backyard are shown in the diagram.

Answer 1

Let us suppose the distance between the sandbox and garden is x feet.

Apply the sine law in the given triangle, we have

$\frac{x}{\sin 65^{\circ}}=\frac{36}{\sin 104^{\circ}}\\ \\ \text{On coss multiplying, we get}\\ x\sin 104^{\circ}=36\sin 65^{\circ}\\ \\ x=\frac{36\sin 65^{\circ}}{\sin 104^{\circ}}\\ \\ x\approx 33.6$

Therefore, in the nearest foot,  the distance between the sandbox and garden is 34 foot.

Answer 2

Answer:

Hello! The correct answer is 34 ft.

Step-by-step explanation:

I am just confirming!