2) A man standing 30 feet from a flagpole observes the angle of elevation of its top to be 48
degrees. Find the height of the flagpole to the nearest tenth.
tan(48)= x/30
x= 30tan(48)
33.3183754449
~33.32 answer
Use tan when you have opposite and the adja
P is pi
R is the radius
A=Pr^2
72P= Pr^2
Square root r^2= square root of 72
r= 6 square root 2
radius of circle B = 1/2 radius of circle A
2^2=4
Area of circle B = area of circle A
6 square root 2
2
3square root 2
A=P( 3square root 2)^2
(3)^2 (square root
P is pi
R is the radius
A=Pr^2
72P= Pr^2
Square root r^2= square root of 72
r= 6 square root 2
radius of circle B = 1/2 radius of circle A
2^2=4
Area of circle B = area of circle A
6 square root 2
2
3square root 2
A=P( 3square root 2)^2
(3)^2 (square root
A circle with circumference of 16p, what is the area? P is pie
C= 2pr and A= pr^2
First you set it equal to the circumference, because that is what the problem says it is.
Then you solve for the radius because that is the only thing unknown and it is need
Chord: line segment inside a circle
ch
Tangent:
line outside a circle that touches the circle at one point
or
d
Tan
gen line that is both inside and outside the circle
Secant:
t
S
ec
(Floating)
Angles inside a circle
an
t
Z and Y are the arcs and x is one
A circle with circumference of 16p, what is the area? P is pie
C= 2pr and A= pr^2
First you set it equal to the circumference, because that is what the problem says it is.
Then you solve for the radius because that is the only thing unknown and it is need
Perpendicular bisector  goes through a midpoint and creates right angles
Altitude goes from a vertex to the opp side and creates right angles (doesnt have to be in the
inside)
A
Goes
from
a
vertex
B
to the C
oppos
Median  goes from a vertex
to a midpoi
Properties of Shapes
Rhombus:

Diagonals bisect each other.
Diagonals not equal
Consecutive angles equal
All sides equal
Opposite sides parallel
Trapezoid:

One pair of opposite sides parallel
Isosceles trapezoid:

Base angles equal
One pair of opposit
Pythagorean Theorem is used for the lengths of the sides of a right triangles.
a^2+b^2=c^2
Used for right triangles. Add these two legs that are squared a^2 and b^2. Find the
hypotenusec
4^2 + 5^2 = c^2
16 + 25= c^2
41 = c^2
square root of c^2 is c
squa
Shape
Formulas for Area(A) and Circumference (C)
Triangle
A= 1/2bh = x base (B) x height (h)
Rectangle
A= lw= length x width
Trapezoid
A = (b1+b2)h = x sum of bases x height
Parallelogram
A= bh= base x height
Circle
A= pi x the square of radius C= radius