Question

Carla looks from a height of 15 yards at the top of her apartment building. She lines up the top of a flagpolewith the curb of a street 20 yards away. If the flagpole is 12 yards from the apartment building, how tall is theflagpole? (G.SRT.B.5)

Answer 1

Answer:

The flagpole is 6 yards tall

Explanations:

The height of Carla from the ground, H = 15 yards

Distance between the curb and the buiding, D = 20 yards

The larger triangle is shown below:

A diagram representing the smaller triangle is shown below:

Since She lines up the top of a flagpole with the curb, the two triangles are similar and the ratio of corresponding sides will be equal

Therefore:

15/x = 20/8

20x = 15(8)

20x = 120

x = 120/20

x = 6

The flagpole is 6 yards tall