A 40-ft. building casts a 60-ft. shadow. A plant casts a 3-ft. shadow. The triangle formed by the building and its shadow is similar to the to the triangle formed by the plant and its shadow. How tall is the plant?

A) 2 ft.

B) 2.5 ft.

C) 3 ft.

D) 4 ft.

Question

A 40-ft. building casts a 60-ft. shadow. A plant casts a 3-ft. shadow. The triangle formed by the building and its shadow is similar to the to the triangle formed by the plant and its shadow. How tall is the plant?

A) 2 ft.

B) 2.5 ft.

C) 3 ft.

D) 4 ft.

anonymous · Answer

You have to set up your proportions.

(building height/building shadow) x (plant height/plant shadow)
(40ft/60ft) x (plant height/3)
Now you just have to cross multiply. Multiply the 3 by the 40 and divide it by 60. You should get 2 ft, which is choice A.

anonymous · Answer

:o thank you! :3