Alamppost is 6 feet high and casts an 8 foot shadow. at the same time of day, a flagpole near the lamppost casts a 20 foot shadow. using the properties of similar triangles, find the height, h, of the flagpole.

The height is 15 ft.

Step-by-step explanation:

Set up a proportion using the info you have for the lamppost and for the flagpole. Use H for the unknown.

    lamppost                      flagpole

height/shadow    =    height/shadow

        6/8              =              H/20

6/8 = H/20

Reduce the left fraction.

3/4 = H/20

Cross multiply.

4H = 3 * 20

4H = 60

H = 15

The height is 15 ft.

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.