Proportion - If a 30-foot tree cast an 18-foot shadow, find the length of the shadow cast by a 24-foot tree.

5 answers

Cross multiply and solve for x.

30/18 = 24/x
14.4ft.
31.5/17.5=7.5/x
15.6
1. on a trip to washington dc, you and your friend are standing next to the washington monument. your friend want to buy a guide book to find out how tall the washington monument is, but will use the money to buy a snack to share instead if you can figure it out. if you know your own height, what two additional measurements must you know to solve the problem?
THE LENGTH OF YOUR SHADOW AND THE LENGTH OF THE SHADOW CAST BY THE WASHINGTON MONUMENT

2. if a 30-foot tree casts an 80-foot shadow, find the length of the shadow cast by a 24-foot tree.
14.4 FEET

3. determine whether the triangles are similar. if so, name the similar triangles. YES, THE TRIANGLES ARE SIMILAR. PSQ ~ RST

4. is the following solution for the value of x in the figure correct or incorrect? explain. 4/8 = 15/x, x = 30
THE SOLUTION FOR THE VALUE OF X IS INCORRECT BECAUSE THE PROPORTION DOES NOT USE THE RATIOS OF CORRESPONDING SIDES

5. in abc, m<a=42°, m<b=50°, ab=4, and ac=3. in xyz, m<x=42°, m<z=88°, xy=14, and yz=9.5. find the measures of bc and xz. round to one decimal place.
BC = 2.7, XZ = 10.5