Circumference - Minor Arc = Major Arc

Minor Arc
= 45/360 x 3(3.14)
= 1/8 x 9.42
= 1.1775

Circumference
= 3(3.13)
= 9.42

Major Arc
= 9.42 - 1.1775
= 8.2425

Kite is created with two distinct pairs of adjacent congruent sides.

8-1
1. C) E and G
2. C) FM and NM
3. D) HJ and IK
4. A) 110
5. C) 70

5/5

Every odd number greater than 1 can be the lowest number in a Pythagorean Triad

Height of the Pole = x
Length of the shadow = x√3

Imaginary side connecting the tip of the pole and the end of the shadow = 2x
Because it is a 30,60,90 special right triangle

Therefore the angle elevation of the sun = 30

tan(x) = 2√3/2
x = tan-1(2√3/2)
Angle of Elevation = 60

tan(60) = x/40
tan(60)x40 = x
x = 69.282

tan(30) = y/40
tan(30)x40 = y
y = 23.094

Height of 2nd tower = 69.282 - 23.094
=46.188

tan(60) = 28/x
28/tan(60) = x
x = 16.1658

tan(45) = 28/y
28/tan(45) = y
y = 28

Distance between the 2 men = 28 + 16.1658
=44.17

tan(60) = 120/x
120/tan(60) = x
x = 69.282

tan(30) = 120/y
120/tan(30) = y
y = 207.846

Distance between the 2 men = 207.846 - 69.282
=138.564m

sin(30) = 18/x
18/sin(30) = x
x=36
length of string = 36m