Question

NEED HELP ASAP 70 POINTS

Answer 1

Answer:

x = 24 inches

Step-by-step explanation:

We can use similar triangles to solve this problem.  Put the same side of the small triangle over the same side of the large triangle

5 in           8 in

--------- = ------------

15 in         x in

Using cross products

5x = 8*15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x = 24 inches

Answer 2

Look at the picture.

We have the similar triangles (AAA). Therefore the lengths of the sides are in proportion:

$\dfrac{x}{8}=\dfrac{15}{5}$

$\dfrac{x}{8}=3$           multiply both sides by 8

$\boxed{x=24\ in}$