Question

Help with this please. I’d appreciate if you showed the steps and the answer. Thanks a lot!

Answer 1

`\boxed{\boxed{\pink{\bf \leadsto Hence \ the \ horizontal \ distance \ is \ 11.47 \ feet . }}}`

Explanation:

Given that Scott is using a 12 foot ramp . And the height of the truck is 3.5 feet from the ground. And we need to find the horizontal distance of the ramp reaches the ground of the truck .

Here will be a formation of a right angled triangle in which the

• Ramp will be hypontenuse.
• Height will be perpendicular .
• Base distance will be base .

On using Pythagoras Theorem ,

`\red{\bf \implies base^2+perpndicular^2=hypontenuse^2}\\\\\bf\implies (12 ft )^2 = base^2 + (3.5 ft )^2\\\\\bf\implies 144ft^2 = base^2+12.25 ft^2 \\\\\bf\implies base^2 = 144ft^2-12.25ft^2 \\\\\bf\implies base^2 = 131.75 ft^2\\\\\bf\implies base=√(131.75ft^2)\\\\\bf\implies\boxed{\red{\bf base = 11.47 ft }}`

★ Hence the horizontal distance is 11.47 feet .