FireTEAM Test FireTEAM Visualization 2

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?

Accepted Answer

16 feet

Answer

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?

Accepted Answer

19 feet

Answer

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?

Accepted Answer

The square looks like a diamond; the circle is still in the center

Answer

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?

Accepted Answer

Large, medium, small

Answer

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?

Accepted Answer

A rectangle

Answer

A horizontal cylinder viewed from above shows its length and diameter as parallel straight edges, forming a rectangle.

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FireTEAM Test FireTEAM Visualization 2