FireTEAM Test FireTEAM Visualization 2 — Questions and Answers
Question 1: A 20-foot ladder leans against a wall with its base 12 feet from the wall. How high up the wall does the top of the ladder reach?
- 8 feet
- 14 feet
- 16 feet (Correct answer)
- 18 feet
Correct answer: 16 feet
Using the Pythagorean theorem: 20² − 12² = 400 − 144 = 256, and √256 = 16 feet.
Question 2: A rectangular room is 12 feet wide and 15 feet long. A firefighter drags a hose diagonally from one corner to the opposite corner. Approximately how long is that diagonal path?
- 14 feet
- 17 feet
- 19 feet (Correct answer)
- 27 feet
Correct answer: 19 feet
The diagonal = √(12² + 15²) = √(144 + 225) = √369 ≈ 19.2 feet.
Question 3: A square piece of paper has a circle drawn exactly in its center. The entire paper is then rotated 45 degrees clockwise. How does it now appear?
- The square looks like a diamond; the circle has shifted toward the bottom
- The square looks like a diamond; the circle is still in the center (Correct answer)
- Nothing changes visually
- The circle becomes an oval shape
Correct answer: The square looks like a diamond; the circle is still in the center
Rotating the whole paper 45 degrees makes the square appear diamond-shaped, but the circle remains centered because it moves with the paper.
Question 4: Three boxes sit in a row: a small box on the left, a medium box in the middle, and a large box on the right. You walk behind the row and look at them from the back. From left to right, how do they now appear?
- Small, medium, large
- Large, medium, small (Correct answer)
- Medium, small, large
- The arrangement looks the same as from the front
Correct answer: Large, medium, small
Viewing from behind reverses left and right, so the large box (originally on the right) now appears on the left.
Question 5: A cylinder is lying on its curved side (horizontal). What shape do you see when looking directly down at it from above?
- A circle
- A rectangle (Correct answer)
- An oval
- A square
Correct answer: A rectangle
A horizontal cylinder viewed from above shows its length and diameter as parallel straight edges, forming a rectangle.
Question 6: You are standing in a hallway facing east. You turn around 180 degrees, then turn 90 degrees to your left. What direction are you now facing?
- East
- West
- North
- South (Correct answer)
Correct answer: South
Turning 180 degrees from east faces you west; a left turn from west points you south.
Question 7: A fire hose nozzle is cone-shaped, with the wide end at the back and the narrow tip at the front. If you look at it straight on from directly in front, what shape do you see?
- A circle (Correct answer)
- A cone outline
- A rectangle
- A triangle
Correct answer: A circle
Looking head-on at the front of a cone reveals only the circular cross-section at the tip, as the wider body is hidden behind it.
A 20-foot ladder leans against a wall with its base 12 feet from the wall.
How high up the wall does the top of the ladder reach?