Solving Right Triangles Notes
9.2 Notes: Solving Right
Triangles
What does it mean to solve a right
triangle?
If we are asked to solve a right triangle, we want to know the
values of ALL sides and ALL angles.
A few reminders:
1) The total degrees inside a triangle is
180°
.
2) Always check that your calculator is in
DEGREE
mode!
3) Lower case letters are side lengths, upper case letters are
angle measures.
Let’s take a look at your calculator:
You will need the following buttons on your calculator to solve
for the ANGLE MEASURE:
Tan
Sin
Cos
When we push one of these buttons and enter a number value,
we get the value of the angle measure (in degrees).
A) tan 30
B) sin 68
C) cos 127
Let’s try some:
EX 1: A = 20°, b = 7, find a
EX 2: B = 55°, b = 13, find c
EX 3: Solve the triangle when B = 68°, a = 5.
EX 4: Solve the triangle when A = 32°, b = 10
Story problems….YAY
EX 5: A tree casts a shadow 205 feet long. The angle of
elevation from the shadow to the sun is 25°. Find the height of
the tree.
a) Draw a picture
b) label what you know
c) determine which trig function to use to find the solution.
EX 6: You are standing 200 feet from the bases of a redwood
tree. You estimate the angle of elevation to the top of the tree
is 60°. What is the approximate height of the tree?
a) Draw a picture
b) label what you know
c) determine which trig function to use to find the solution.
Understanding how to solve right triangles by finding the values of all sides and angles using trigonometric functions. Includes reminders on total degrees in a triangle, calculator use, and practical application through story problems.
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Presentation Transcript
9.2 Notes: Solving Right Triangles
What does it mean to solve a right triangle? If we are asked to solve a right triangle, we want to know the values of ALL sides and ALL angles. A few reminders: 1) The total degrees inside a triangle is 180 . 2) Always check that your calculator is in DEGREE mode! 3) Lower case letters are side lengths, upper case letters are angle measures.
Lets take a look at your calculator: You will need the following buttons on your calculator to solve for the ANGLE MEASURE: Tan Sin Cos When we push one of these buttons and enter a number value, we get the value of the angle measure (in degrees). A) tan 30 B) sin 68 C) cos 127
Lets try some: EX 1: A = 20 , b = 7, find a EX 2: B = 55 , b = 13, find c
EX 3: Solve the triangle when B = 68, a = 5. EX 4: Solve the triangle when A = 32 , b = 10
Story problems.YAY EX 5: A tree casts a shadow 205 feet long. The angle of elevation from the shadow to the sun is 25 . Find the height of the tree. a) Draw a picture b) label what you know c) determine which trig function to use to find the solution.
EX 6: You are standing 200 feet from the bases of a redwood tree. You estimate the angle of elevation to the top of the tree is 60 . What is the approximate height of the tree? a) Draw a picture b) label what you know c) determine which trig function to use to find the solution.
