Question

Use similar triangles to solve the problem.

A flagpole casts a shadow of 35 ft, Nearby, a 9-ft tree casts a shadow of 7 ft. What is the height of the flag
pole (in feet)?

Answer 1

45 ft

Step-by-step explanation:

• the flagpole has a base of 35 ft since a shadow is cast across the ground.
• the tree has a base of 7 ft and a height of 9 ft.
• now compare both bases of the flagpole and the tree.
• they do have a connection. 7 and 35. the flagpole base is 5 times bigger than the tree base.
• in order to find the height of the flagpole, you need to multiply the tree height by 5.
• so 9×5 is 45 which the answer is 45 ft.