Question

The triangle formed by the intersections of Oak Road,

Main Street, and Highway 33 is similar to triangle ABC.
The section of Main Street between Oak Road and
Highway 33 is eight miles long. Based on the information
given, what is the length of Oak Road from Main Street
north to the intersection of Highway 33? Set up a proportion
and solve. Round your answer to the nearest tenth.

Answer 1

Explanation:

To find the length of Oak Road from Main Street to the intersection of Highway 33, we can set up a proportion using the information that the triangle formed by the intersections of Oak Road, Main Street, and Highway 33 is similar to triangle ABC. Let's call the length of Oak Road x.

Using the information that the section of Main Street between Oak Road and Highway 33 is eight miles long, we can write:

x / 8 = 8 / x

Cross-multiplying gives us:

8x = 64

Finally, solving for x, we get:

x = 8

So the length of Oak Road from Main Street to the intersection of Highway 33 is 8 miles, rounded to the nearest tenth.