Question

This question has two parts. First, answer Part A. Then, answer Part B. part B :

Answer 1

The length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -

h² = p² + b²

Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.

[A]

From the data given, we can consider the ramp construction as right angled triangle. We can write -

base [b] = 12 ft

height [p] = 1 ft

Using the Pythagoras theorem -

h² = (12 x 12) + (1 x 1)

h² = 144 + 1

h = √145

h = 12.0415

[B]

For estimating the length of the incline, we will round it off to the exact value. The rounding of length for zero digits after decimal will give the desired result as 12 ft

Therefore, the exact length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

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[ This answer is the answer of part B of the question whose part A is attached with the answer.]