Measurement, NAPX-I4-NC07
Question
Willow placed the foot of her ladder 2.5 metres from the base of the wall.
The ratio of the vertical height of the ladder to its distance from the wall on the ground is 6:1.
What is the vertical height of the ladder?
Worked Solution
|
|
Vertical height |
= 6 × 2.5 |
|
= 15 metres |
|
|
Ratio |
= 6 : 1 |
|
= (6 × 2.5) : (1 × 2.5) |
|
= 15 : 2.5 |
∴ Ladder's vertical height is {{{correctAnswer}}}
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
Variant 0
DifficultyLevel
558
Question
Willow placed the foot of her ladder 2.5 metres from the base of the wall.
The ratio of the vertical height of the ladder to its distance from the wall on the ground is 6:1.
What is the vertical height of the ladder?
Worked Solution
|
|
Vertical height |
= 6 × 2.5 |
|
= 15 metres |
|
|
Ratio |
= 6 : 1 |
|
= (6 × 2.5) : (1 × 2.5) |
|
= 15 : 2.5 |
∴ Ladder's vertical height is 15 metres
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
correctAnswer | |
Answers