Question

You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 5ft. The base of the incline plane is 7ft from the shelving unit. What is the length of the incline plane?

Answer 1

The length of the inclined plane AC = x = 8.6 ft

Explanation:

Height = AB = 5 ft

BC = 7 ft

Now length of inclined plane AC = x

Apply pythagores theorem for ΔABC

`AC^(2) = AB^(2) + BC^(2) \\\\x^(2) = 5^(2) + 7^(2) \\`

`x^(2) = 74`

x = 8.6 ft

Therefore the length of the inclined plane AC = x = 8.6 ft