Review Problem Answers

- Problem 21 on page 45
<a = 60 deg.
<b = 120 deg.
<d = 60 deg.
<e = 60 deg.
<f = 120 deg.
<g = 120 deg.
<h = 60 deg.

- Problem 29 on page 47
a. A third of a right angle is a third of 90 deg. which = 30 deg.
b. Two times a quarter rotation is two times 90 deg. = 180 deg.
c. Two and a third times a quarter is 180 deg. plus 30 deg. which = 210 deg.

- Problem 35 on page 48
a. 1/6 of 60 min is 10 min
b. 1/6 of 30 min is 5 min
c. 5 min is 1/12 of an hour
d. The minute hand has moved through 1/12 of a complete rotation, 1/12 of 360 deg. = 30 deg.

-Problem 14 on page 65
a. 72 deg. x 5 = 360 deg.
b. If he turns around a regular hexagon, he will go 60 deg. x 6 = 360 deg.
For an octagon, he would go 45 deg. x 8 = 360 deg.
No matter which polygon shape the garden is, he will make a complete 360 deg. turn because he will arrive back at the same vertex facing the same direction from where he started.

- Problem 8 on page 76
The two 3-foot poles and the 5-foot poles will make a tent, but it will be a low tent.  The two 3-foot poles and the 6-foot pole, and the two 3-foot poles and the 7-foot pole will not make a tent, because the sum of any two sides is not greater than their third side.