Complete the following table. I need help plz.

Question

1a. Complete the following table:

x	sin(x)	cos(x)	[sin(x)]2 + [cos(x)]2
25º
40º
65º
75º
90º

1b. Describe the pattern that you see in the table for the right column.

 

2. A wheelchair ramp must form an angle no greater than 4.8 degrees with the ground. If a 1.8 foot high ramp is needed, what is the minimum horizontal length for the ramp so it satisfies the angle requirement? Include a sketch of the ramp.

Answer 1

For the table, this part you just need to know how to use your calculator. Make sure your calculator is in degree form, and for all the values of x, plug the value into sin and cos. For example, sin(25), sin(40), sin(65)

After you fill in the table, for 1b. It will be clear that there is a pattern in the 3rd column.

For problem 2,

We know that the angle theta is 4.8 degrees.

We know that the height of the ramp is 1.8 feet.

We know the formula for tangent is tan(theta) = sin / cos =

(opposite / hypotenuse) / (adjacent / hypotenuse)

tan(theta) = opposite / adjacent

theta is 4.8 degrees, the side opposite of the angle is 1.8 feet, the side adjacent is the horizontal side.

Solve the equation and you should get the minimum length of the horizontal side.