Transcript Finding the Missing Side Practice

Finding the Missing Side
Practice
Finding the Missing Side Step-by-Step
40 ft
x
25o
What do we know?
Finding the Missing Side Step-by-Step
We know:
40 ft
angle and opposite side
x
25o
What do we want to know?
Finding the Missing Side Step-by-Step
angle and opposite side
We want to know: hypotenuse
We know:
40 ft
x
25o
Which trigonometric ratio do we use?
Finding the Missing Side Step-by-Step
angle and opposite side
We want to know: hypotenuse
We know:
40 ft
x
We sill use: sin
opp
hyp
25o
Set up and solve your proportion?
Finding the Missing Side Step-by-Step
angle and opposite side
We want to know: hypotenuse
We know:
40 ft
x
We sill use: sin
opp
hyp
25o
Set up and solve your proportion?
o
sin 25
40

1
x
x
46.9 meters
54o
What do we know?
x
46.9 meters
54o
We know:
angle and hypotenuse
What do we want to know?
x
46.9 meters
54o
angle and hypotenuse
We want to know : adjacent side
We know:
Which trig ratio do we use?
x
46.9 meters
54o
angle and hypotenuse
We want to know : adjacent side
We will use: cos adj
We know:
hyp
Set up and solve the proportion?
x
46.9 meters
54o
angle and hypotenuse
We want to know : adjacent side
We will use: cos adj
We know:
hyp
Set up and solve the proportion?
o
cos 54
x

1
46.9
Using Trigonometric Ratios to
Solve Problems
Problem: A forest ranger must estimate the height of a
tree. He stands 10 feet from the base of the tree and
measures his angle of inclination at 62o.
What does this situation look like?
Using Trigonometric Ratios to
Solve Problems
Problem: A forest ranger must estimate the height of a
tree. He stands 10 feet from the base of the tree and
measures his angle of inclination at 62o.
What do we know?
tree
62o
10 ft
Ranger
Using Trigonometric Ratios to
Solve Problems
Problem: A forest ranger must estimate the height of a
tree. He stands 10 feet from the base of the tree and
measures his angle of inclination at 62o.
We know: angle and adjacent side
What do we need?
tree
62o
10 ft
Ranger
Using Trigonometric Ratios to
Solve Problems
Problem: A forest ranger must estimate the height of a
tree. He stands 10 feet from the base of the tree and
measures his angle of inclination at 62o.
We know: angle and adjacent side
We need: opposite side
Which trig ratio do we use?
tree
62o
10 ft
Ranger
Using Trigonometric Ratios to
Solve Problems
Problem: A forest ranger must estimate the height of a
tree. He stands 10 feet from the base of the tree and
measures his angle of inclination at 62o.
We know: angle and adjacent side
We need: opposite side
opp
We use: tangent
adj
tree
Set up proportion and solve.
62o
10 ft
Ranger
Using Trigonometric Ratios to
Solve Problems
Problem: A forest ranger must estimate the height of a
tree. He stands 10 feet from the base of the tree and
measures his angle of inclination at 62o.
We know: angle and adjacent side
We need: opposite side
opp
We use: tangent
adj
tree
Set up proportion and solve.
62o
10 ft
Ranger
tan 62o
x

1
10