Download File - Jamari Robinson E

Trigonometry Mini Project
Jamari Robinson
June 4th, 2013
F- Block
Carpenter
38o
• A carpenter cuts a piece of
wood into a right triangle.
The wood was made to
cover a hole in the floor.
The hypotenuse measures 4
inches. With the given angle
measurements what is the
length of the adjacent side?
4
Solution
1.
Figure out what function to use by identifying
what you have and what you want to find out.
Have adjacent and hypotenuse and the function that deals
with both is Cosine
2.
Set up equation using the function
3.
Isolate x and solve for x.
ADJ
Cos38o = HYP
x
Cos38o = 4
Cos38o =
(4)Cos38o
X=3.2
= x
x
4
Bicycle
44o
1.
Figure out what function to use by identifying
what you have and what you want to find out.
2.
Set up equation using the function
3.
Isolate x and solve for x.
4.
Use the solve for other side using same steps.
*Pythagorean Theorem would also work
• Two boys are planning to
build a home- made bike
with the exact
measurements as this bike.
However, only one angle
measure and the
hypotenuse was provided.
What is the length of the
other two sides?
You have the hypotenuse and could solve for the oppsite side
and the function that deals with both is Sine
x
OPP
o =
Sin44
o
18
Sin44 = HYP
X =18(sin44o)
OPP =12.5 in
x
ADJ
o=
Cos44
o
=
18
Cos44
HYP
X =18(Cos44o)
ADJ =12.9 in
Homer Simpson
27
The Simpsons are planning
to purchase a custom chair
for Homer. To place a order
for this custom chair they
need Homer’s back length.
Now that he is sleep find the
length of his back using the
angle measurement and 27
inches as his arm length.
38o
solution
1.
Figure out what function to use by identifying
what you have and what you want to find out.
2.
Set up equation using the function
3.
Isolate x and solve for x.
Deals with adjacent and opposite and the function that deals
with both is Tangent
27
OPP
Tan38o = X
Tan38o = ADJ
27
x
= x
Tan38o = 4
Tan38o
X= 32.6 inches
British Flag
• The British flag contains
many right triangles. One
angle measures 30
degrees and the
hypotenuse is equal to 8
inches. With the given
information find the
length of opposite and
adjacent side?
30o
Solution
1.
Figure out what function to use by identifying
what you have and what you want to find out.
Deal with Opposite and hypotenuse and the function that
deals with both is sine
2.
Set up equation using the function
sin30o
3. Isolate x and solve for x.
4. Use properties of 30-60-90 to
Solve for other side.
OPP
HYP
(8)Sin30o
=
opp= 4 inches
Sin30o
=
x
8
= x
adj=4√3 or 6.9 inches
Sandwich
•
29
o
6
ADJ
Step 1: cos29 = HYP
6
Step 2: x= cos29
x= 6.9
A girl and her friend decide to share
sandwiches. The first sandwich was
already sliced perfectly. They want
they second sand which to be sliced
the same. They know that they
length of the sandwich is 6 inches
and one of the angle measures
shown in the picture. How long
would the diagonal of the sandwich
slice be?
6
Cos29 = x