Unit 6 Review- Right Triangle Trigonometry

Unit 6 Review-

Right Triangle Trigonometry

By Brandy Stapleton

Pythagorean Applications

We can use the pythagorean theorem to find the 3rd side in a right triangle... OR to determine if a triangle is a right, acute or obtuse triangle.

Multiple Choice

Which side is the hypotenuse?

• 1
• 2
• 3

Multiple Choice

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Multiple Choice

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Converse of the

Pythagorean Theorem

​Is it a right triangle?

​

And, if it's not... what kind of trangle is it? Aciute or Obtuse?​

Multiple Choice

Is it an acute, obtuse, or right triangle?

Side Lengths:

6, 14, & 17

• acute
• obtuse
• right

Multiple Choice

Is it an acute, obtuse, or right triangle?

Side Lengths:

7, 11, & 13

• acute
• obtuse
• right

Multiple Choice

Is it an acute, obtuse, or right triangle?

• Acute

• Right

• Obtuse

​Using the Basic Trigonometric Ratios

We can use trigonometric ratios to find missing sides, when given an angle of focus and one known side. We label the sides of the triangle (hypotenuse, adjacent, opposite) and then set up a trig ratio and solve for the unknown side!)

Multiple Choice

Which side is adjacent to angle x?

• 1
• 2
• 3

Multiple Choice

Which side is opposite angle x?

• 1
• 2
• 3

Multiple Choice

Which trig ratio would you use to find

sin(A) ?

• $$\frac{12}{37}$$

• $$\frac{12}{35}$$

• $$\frac{35}{37}$$

• $$\frac{35}{12}$$

Multiple Choice

Which trig function would you use to solve for x?

• $$\sin40=\frac{x}{19}$$

• $$\cos40=\frac{x}{19}$$

• $$\tan40=\frac{x}{19}$$

Multiple Choice

Which trig ratio would you use to find

tan Z?

• 7/24
• 24/7
• 7/25
• 24/25

Multiple Choice

Which trig ratio would you use to find

cos(A) ?

• $$\frac{12}{37}$$

• $$\frac{12}{35}$$

• $$\frac{35}{37}$$

• $$\frac{35}{12}$$

Multiple Choice

Which trig ratio would you use to find

tan(θ)?

• tan(θ) = 5/13

• tan(θ) = 12/13

• tan(θ) = 12/5

• tan(θ) = 5/12

Multiple Choice

What is the correct equation to solve for x?

• $$\tan45\degree=\frac{x}{13}$$

• $$\cos45\degree=\frac{x}{13}$$

• $$\sin45\degree=\frac{x}{13}$$

• $$\sin45\degree=\frac{13}{x}$$

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Find the value of x.

• 16.0

• 20.5

• 20.3

• 42.2

Multiple Choice

Find x round to the nearest tenth.

• 46.1
• 4.9
• 16.4
• 26.9

Multiple Choice

Solve for x. Round to the nearest tenth.

• 9.8
• 0.1
• 0.038
• 9.9

Multiple Choice

Solve for x.

• 24.20
• 4.92
• 290.4
• 29.75

Multiple Choice

Find the value of x.

• 6.6

• 7.3

• 13.5

• 30.8

Multiple Choice

Calculate the height, in m, of the tree shown in the diagram.

• 23.45

• 25.9

• 31.5

• 32.9

Multiple Choice

Solve for the misssing distance

• 18.9
• 19.5
• 47
• 27.5

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Find the measure of the missing angle.

• 64^o
• 26^o
• 61^o
• .008^o

Multiple Choice

Use inverse trig ratios to solve for the missing angle

• 32°
• 44°
• 61°
• 50°

Multiple Choice

Find the value of x. Round to the nearest tenth.

• 6.2°

• 83.8°

• 43.3°

• 62.7°

Fill in the Blanks

Multiple Choice

The diagram shows a flagpole that is supported by a wire QR. The angle PRQ, in degree, is

• 30

• 45

• 50

• 60

Multiple Choice

Solve for the missing angle.

• 50.5 degrees

• 12.7 degrees

• 36.9 degrees

• 72.2 degrees

Special Right Triangles

We can use patterns to find the missing sides in special right triangles.

There are specific patterns for a triangle​

Multiple Choice

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Multiple Choice

In this isosceles triangle, what is the length of x?

• 8√2

• $$\frac{8}{\sqrt{2}}$$

• 16

• 8

Multiple Choice

Which is the length of v in this 30-60-90 triangle?

• $$4\sqrt{3}$$

• 4

• 8

• $$4\sqrt{2}$$

Multiple Choice

• A
• B
• C
• D