Ch 8 Review Questions

Pythagorean Theorem

Find the missing side

15

x

30

Pythagorean Theorem

Find the missing side. Leave answer in square root (radical) form.

12 ft

x

16 ft

Using the Pythagorean TheoremYour house is at (-4, 2). A store is at (3, -2). How far is it from your house to

the store?

.

.House

Store

Pythagorean Theorem

A triangle has sides of length 12 cm, 14 cm and 16 cm. Is it a right triangle?

Pythagorean Theorem

A triangle has sides of lengths 13 in, 10 in and 12 in. Is it acute, obtuse or right?

45 – 45 – 90 Triangles

∠C is right angle. B is 45∠ o. Find AB

A C

B

11 ft

45 – 45 – 90 Triangles

Find the length of one leg.

A C

B

24 ft45o

45 – 45 – 90 Triangles

Find x.

A C

B

9 ft45o

x

30 – 60 – 90 Triangles

Find x.

A C

B

11 ft

60o

x

22 ft

30 – 60 – 90 Triangles

Find x and y.

A C

B

y

60o

x

10

30 – 60 – 90 Triangles

Find x and y.

A C

B

6 cm

60o

x

y

Trigonometry

Find the missing value rounded to the nearest hundredth.

cos ___ =

Trigonometry

Write the ratios for sin A and cos A.

A

6

BC

14

4

Trigonometry

Write the tangent ratios for A and B.∠ ∠

A

6

BC

14

4

Trigonometry

Find x rounded to the nearest tenth.

A

6

BCx

35o

Trigonometry

Find x rounded to the nearest tenth.

A

16BC

x

29o

Trigonometry

Use a trig ratio to find x.

A

5

BC

x

19o

Trigonometry

Use a trig ratio to find x.

A

5

BC

17xo

Trigonometry

Use a trig ratio to find x.

A

15BC

19xo

Angle of elevation

Which angle is the angle of depression from the dotted line and which one is the angle of elevation?

12

Using Trigonometry

How tall is the tree?

65o

28 ft

Using Trigonometry

How much higher does the ladder that’s 3 ft from the building reach than the one 6 ft from the building?

12 ft

3 ft6 ft

12 ft

Using Trigonometry

A hang glider is approaching the ground at an angle of depression of 15o. How far will he travel before landing?

650 ft

15od

Using Trigonometry

Draw a diagram showing someone on a 40 ft tall building looking at an object in the distance at an angle of depression of 20o. How are away is the object?

Review

How can you prove the triangles congruent?