Question

the height of a tree is 4.2 m. jacks ladder is 2.8 m tall. jack is 179 cm tall. compared to the tree, how much taller (measured in cm) is jack if he is standing at the top rung of the ladder?

Explanation:

Step1: Convert tree height to cm

The tree's height is \( 4.2 \, \text{m} \). Since \( 1 \, \text{m} = 100 \, \text{cm} \), we multiply by 100: \( 4.2 \times 100 = 420 \, \text{cm} \).

Step2: Convert ladder height to cm

The ladder's height is \( 2.8 \, \text{m} \). Convert to cm: \( 2.8 \times 100 = 280 \, \text{cm} \).

Step3: Calculate Jack's total height on ladder

Jack's height is \( 179 \, \text{cm} \). His total height on the ladder is ladder height + his height: \( 280 + 179 = 459 \, \text{cm} \).

Step4: Find the difference

Subtract tree height from Jack's total height: \( 459 - 420 = 39 \, \text{cm} \).

Answer:

39