Need help ASAP! ty

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.

3. Solve the triangle below without using either the cosine or tangent ratios.

Answer 1

1) Just use your calculator to compute the sin x, cos x, and sin² x + cos² x values for each given value of x.

2) Draw a triangle of the situation. The ramp is the hypotenuse and it makes a 4.8 degree angle with the ground. The leg opposite the angle is the height (1.8 feet). The horizontal leg is the length of the ramp. Use the tangent of 4.8° to find the length of the horizontal leg.

3) sin(23°) = a/16. Use your calculator to find the value of sin(23°) then solve for a.

Angle B = 180° - (90° + 23°) = 67°. sin(67°) = b/16. Use your calculator to find the value of sin(67°) then solve for b.