Hypotenusal allowance for a chain of 100 links measuring along a slope of 45° is . . . . . . . .
A. + 29.3 links
B. - 29.3 links
C. - 4.14 links
D. + 4.14 links
Answer: Option B
Solution (By Examveda Team)
Hypotenusal Allowance Explained:Imagine you're measuring a distance on a hill. A chain (used for measuring in surveying) measures accurately only on flat ground.
If you measure along a slope, you'll measure a longer distance than the actual horizontal distance.
Hypotenusal allowance corrects for this extra distance.
It's the amount you need to subtract from your slope measurement to get the true horizontal distance.
Think of a right-angled triangle:
The slope distance is the hypotenuse.
The horizontal distance is one shorter side.
The angle is 45° in this question.
Calculating Hypotenusal Allowance:
Since the slope is 45°, the horizontal distance is less than the slope distance. The chain measures along the hypotenuse (slope), so we need to subtract (a negative allowance) to get the horizontal distance.
The calculation involves trigonometry (which you'll learn later), but for now, just understand the concept.
Therefore, the correct answer is the negative allowance.
The calculation gives a value close to 29.3 links. Considering the other options, it becomes clear that you need to subtract this amount.
I think options given are wrong