Question

A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building?

The answer should be to the nearest tenth or as a whole number.

x = ?

Answer 1

use property of similar triangles
- corresponding sides are in same ratio.

Answer 2

First lets call the pole (P), the pole's shadow PS, and the building's shadow BS, and finally we will call the building B

Now we just need to set up a proportion:

P/PS = B/BS

3/5 = B/110

cross multiplying, we get:

330 = 5B

B = 66m tall.

Answer 3

wow that made it easier for me to understand :) thanks a lot