Question

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long

Answer 1

The subject of this question is Physics. Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 cm tall and the ramp is 158 cm long. To find out if the ramp is suitable for moving the piano, we need to determine the angle of elevation of the ramp.

Step-by-step explanation:

The subject of this question is Physics. Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters (cm) tall and the ramp is 158 cm long.

To find out if the ramp is suitable for moving the piano, we need to determine the angle of elevation of the ramp. The angle of elevation can be calculated using the formula:

Angle of Elevation = arctan(height of the truck / length of the ramp)

Using the given values, we have:

Angle of Elevation = arctan(83 cm / 158 cm)

Using a calculator, we can find the angle of elevation to be approximately 29.2 degrees.

Answer 2

Given :

Height of the ramp, h = 83 cm.

Length of ramp, L = 158 cm.

To Find :

Length of the base of the ramp.

Solution :

Let length of the base is l.

By Pythagoras theorem :

L² = h² + l²

`l=√(L^2-h^2)\\\\l=√(158^2-83^2)\\\\l=134.44\ cm`

Therefore, length of the base is 134.44 cm.

Hence, this is the required solution.