A 6m ladder is placed against a wall with its base 2m from the wall . How high is the top of the ladder above the ground ? Round of your answer to two decimal places

2 answers

Pythagorean theorem:

c² = a² + b²

given:

the ladders are long c = 6 m

base is a = 2 m

b = height of ladder above ground

b = √ ( c² - a² )

b = √ ( 6² - 2² )

b = √ ( 36 - 4 )

b = √ 32

b = 5.656854249 m

To round a number to a two decimal places, look at the number in the third decimal place.

Leave the second decimal same if the number in the third decimal is less than 5

(this is called rounding down)

Increase the second decimal by 1 if the number in the third decimal is 5 or more

(this is called rounding up)

In this case number in the third decimal is 6 so increase the second decimal by 1:

b = 5.66 m

rounded on two decimal places
How do we round out the number