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