Question

the diagram shows the intersections of several straight roads. the avenues run parallel to each other. amana walks along oak from point a to b. to the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft first ave. main 280 ft second ave. 140 ft oak a b 113 ft

Explanation:

Step1: Identify similar triangles

First Ave and Second Ave are parallel, so triangles formed by Main and Oak are similar. The ratio of sides is $\frac{280}{140}=2$.

Step2: Calculate AB length

The segment corresponding to 113 ft in the smaller triangle has a ratio of 2 in the larger triangle. Thus, $AB = 113 \times 2 = 226$ ft.

Answer:

B. 226 ft