SIMILAR TRIANGLES AND INDIRECT MEASUREMENT

In each figure, find x.

Problem 1 :

Solution:

Problem 2 :

Solution:

Problem 3 :

Solution:

Problem 4 :

Solution:

Problem 5 :

Problem 6 :

Solution:

Solve.

Problem 7 :

An office building 55 ft tall casts a shadow 30 ft long. How tall is a person standing nearby who casts a shadow 3 ft long?

Solution :

Let x be the height of the person.

Problem 8 :

A 20 ft pole casts a shadow 12 ft long. How tall is a nearby building that casts a shadow 20 ft long?

Solution:

Let x be the height of the building.

Problem 9 :

A fire tower casts a shadow 30 ft long. A nearby tree casts a shadow 8 ft long. How tall is the fire tower if the tree is 20 ft tall?

Solution:

Let x be the tall of the fire tower.

Problem 10 :

A house casts a shadow 12 m long. A tree in the yard casts a shadow 8 m long. How tall is the tree if the house is 20 m tall?

Solution:

Let x be the tall of the tree.