Question

Amy and Betty are on the edge of the Grand Canyon, 200 yards apart from each other. They spot an elk on the edge of the opposite side of the canyon. Amy, Betty and the elk create a triangle. The angle formed at Betty is 87º. The angle formed at Amy is 67º. What is the distance between Betty and the elk?

Answer 1

To find the distance between Betty and the elk, we can use the law of sines.

Step-by-step explanation:

To find the distance between Betty and the elk, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. In this case, we can set up the following equation:

a / sin(A) = c / sin(C)

Where a is the side opposite angle A, c is the side opposite angle C. In this case, Betty and the elk form one side of the triangle, so we want to solve for c. Let's plug in the given values:

200 yards / sin(87º) = c / sin(67º)

Now we can solve for c.