Download geometry, angle, and trig exercises

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Geometry, Angle, and Trig Exercises
Mathematics 141
due Monday, March 14, 2011
45.
semi-circle
C
43◦
D
A
B
center
find values for angles A,B,C, & D
46. A central angle A intercepts an arclength of s = 1500 miles on a circle of radius 4000
miles. Find the measure of the angle A in radians.
47. A tiny rock is stuck on a the outer tread of a wheel of diameter 70 cm. If the wheel
makes 9 revolutions every second, calculate the distance the rock spins through in an hour.
48. Write down the values of the six
trigonometric functions of the angle A:
( sin A, cos A , etc.)
5
A
8
49. Suppose that tan A =
2
5
(a) Draw a right triangle showing the angle A
and side lengths 2 and 5 in the correct positions.
(b) Use the Pythagoras theorem to find the
length of the last side of the triangle.
(It’s OK to leave this as a square root)
(c) Find the values of cos A and sin A.