Question

7.3.ps - 7
you are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 7 ft. the base of the incline plane is 12 ft from the shelving unit. what is the length of the incline plane?
the length of the incline plane is about
(round to the nearest tenth as needed.)
ft.
(this figure is not drawn to scale.)

Explanation:

Step1: Identify the triangle type

The incline plane forms a right triangle with height 7 ft and base 12 ft. The length of the incline plane is the hypotenuse.

Step2: Apply Pythagorean theorem

The Pythagorean theorem states that for a right triangle, \( c = \sqrt{a^2 + b^2} \), where \( a = 7 \), \( b = 12 \), and \( c \) is the hypotenuse (length of incline plane).
So, \( c = \sqrt{7^2 + 12^2} = \sqrt{49 + 144} = \sqrt{193} \).

Step3: Calculate the square root

\( \sqrt{193} \approx 13.9 \) (rounded to the nearest tenth).

Answer:

13.9