Finding the Missing Side Practice
25o
40 ftx
What do we know?
Finding the Missing Side Step-by-Step
25o
40 ftx
What do we want to know?
Finding the Missing Side Step-by-Step
We know: angle and opposite side
25o
40 ftx
Which trigonometric ratio do we use?
Finding the Missing Side Step-by-Step
We know: angle and opposite side
We want to know: hypotenuse
25o
40 ftx
Set up and solve your proportion?
Finding the Missing Side Step-by-Step
We know: angle and opposite side
We want to know: hypotenuse
We sill use: sin opp
hyp
25o
40 ftx
Set up and solve your proportion?
Finding the Missing Side Step-by-Step
We know: angle and opposite side
We want to know: hypotenuse
We sill use: sin opp
hyp
sin 25 40
1
o
x
46.9 meters
x
54o
What do we know?
46.9 meters
x
54o
What do we want to know?
We know: angle and hypotenuse
46.9 meters
x
54o
Which trig ratio do we use?
We know: angle and hypotenuse
We want to know : adjacent side
46.9 meters
x
54o
Set up and solve the proportion?
We know: angle and hypotenuse
We want to know : adjacent side
We will use: cos adj
hyp
46.9 meters
x
54o
Set up and solve the proportion?
We know: angle and hypotenuse
We want to know : adjacent side
We will use: cos adj
hyp
cos54
1 46.9
o x
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.
tree
Ranger10 ft
62o
What do we know?
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.
tree
Ranger10 ft
62o
We know: angle and adjacent side
What do we need?
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.
tree
Ranger10 ft
62o
We know: angle and adjacent side
We need: opposite side
Which trig ratio do we use?
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.
tree
Ranger10 ft
62o
We know: angle and adjacent side
We need: opposite side
We use: tangent opp
adj
Set up proportion and solve.
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.
tree
Ranger10 ft
62o
We know: angle and adjacent side
We need: opposite side
We use: tangent opp
adjSet up proportion and solve.
tan 62
1 10
o x
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