A librarian is rearranging the bookshelves and notices that the pair of bookends on the shelf are not the same size. The librarian then notices that the bookends create similar triangles. What is the length of the diagonal, x, created by the smaller bookend?

5 in.

7.2 in.

27.2 in.

20 in.

Scale factor of 2 is used to enlarge a figure as shown below the area of is 18 in.²

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

The track team ran a mile and a quarter during their practice how many kilometers did her team runs?