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A toy fire truck is positioned so that the base of the ladder is 13 cm from the wall. The ladder is
extended 28 cm to the wall. How high above the table is the top of the ladder?

A toy fire truck is positioned so that the base of the ladder is 13 cm from the wall The ladder is extended 28 cm to the wall How high above the table is the to class=

Respuesta :

sqdancefan

Answer:

  33.8 cm

Step-by-step explanation:

You want to know a 28 cm ladder's height above a table if its base is 9 cm above the table and 13 cm away from the wall.

Missing leg

The Pythagorean theorem tells you the missing leg of the right triangle is ...

  b = √(c² -a²) = √(28² -13²) ≈ 24.8 . . . . cm

Then the height above the table is ...

  9 cm + 24.8 cm = 33.8 cm

The ladder extends to 33.8 cm above the table.

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