Thomas decides to use the method of proportions and similar triangles to find the height of a lamppost. He measures the length of
the post's shadow and finds it is 5 feet long. Then, he holds a 1-foot
ruler perpendicular to the ground and finds that it casts a 2-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 12 ft d. 60 ft

The lamppost is 30 ft tall.

Step-by-step explanation:

You need to draw a diagram of the problem. Refer to attachment.

Now you need to convert the measurements that are in feet to in. The 1 foot ruler is now 12 in. and the 5 foot post's shadow is now 60 in.

The next step is to create a proportion between both angles.

x over 1 is simplified to x and 60 divided by 2 is just 30. So the lamppost is 30 ft tall.

Hope that helped. :)

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get