Question

1. A truck with 24-in.-diameter wheels are traveling at 60 mi/h.

Find the angular speed of the wheels in rad/min:    rad/min
How many revolutions per minute do the wheels make?    rpm

2. Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.

(Type sqrt(2) for √22 and sqrt(3) for √33.)

What is the reference angle?  degrees.

In what quadrant is this angle?  (answer 1, 2, 3, or 4)

sin(300∘)=sin(300∘)=   

cos(300∘)=

3. Find an angle θθ with 0∘<θ<360∘ that has the same:

Sine as 210∘210∘: θθ = ___degrees

Cosine as 210∘210∘: θθ = ____degrees

4. Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 145∘
x= y=
Round your answers to three decimal places.

5. The angle of elevation to the top of a building in New York is found to be 9 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. ____feet

Answer 1

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