You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the

Question

3 years ago

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You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the

incline plane is 26 ft from the shelving unit. What is the length of the incline plane? FAST HELPPP MEE PLEASEE IM STUCK

Mathematics

1 answer:

vredina [299] · Answer 1 · 2022-08-30T15:29:10+03:00

Answer:

17.46 ft

Step-by-step explanation:

The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following

$a^{2} + b^{2} = c^{2}$

Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.

$a^{2} + b^{2} = c^{2}$

$7^{2} + 16^{2} = c^{2}$

$49 + 256 = c^{2}$

$305 = c^{2}$ ... square root both sides

17.46 = c