Question

1. Use a calulator to find a decimal approximation for each value.

sec(-216 degrees 13')=

(round to seven decimal places)

2. A space vechile is orbiting Earth in a circular orbit. What radian measure corresponds to (a) 2.5 orbits? (b) 5/4 orbits?

(a) the radian measure corresponding to 2.5 orbits is ___. (Type an axact answer in terms of pi. Type an interger or a simplified fraction)

b) the radian measure corresponding to 5/4 orbits is ___. (Type an exact answer in terms of pi. Type an interger or a simplified fraction. )

3. Find the length to three significant digits of the arc intercepted by a central angle θ in a circle of radius r.

r=13.9 cm, θ= 4π/5 radians

The length of the intercepted arc is approximately ____ cm.

(Round to one decimal place as needed.)

4.Find the length to three significant digits of the arc intercepted by a central angle

θ in a circle of radius r.r=2.75ft, θ=6π/7 radians

The length of the intercepted arc is approximately ___ ft. (Round to two decimal places)

How long is an arc intercepted by the given central angle in a circle of radius

16.58km? 120°

The length of the intercepted arc is approximately ___ km. (Round to the nearest hundredth.)

5. Two cities have nearly the same north-south line of

95° W. The latitude of the first city is 22° N, and

the latitude of the second city is .28° N.

Approximate the distance between the cities if the average radius of Earth is 6400 km.

The cities are approximately ___ kilometers apart. (Round to the nearest integer as needed.)

6.

Refer to the figure to the right. (a) How many inches will the weight in the figure rise if the pulley is rotated through an angle of78°40'? (b) Through what angle, to the nearest minute, must the pulley be rotated to raise the weight5 in.? |
A rope attaches a weight to a pulley with radius 9.78 in |

(a) The weight in the figure will rise __ inches. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Answer #1

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