Lesson 28

L28 Trig ratios and measuring

​Labeling a right triangle for trigonometry:

RIGHT, THETA, OPPOSITE, ADJACENT, HYPOTENUSE

​hypotenuse

​O

A

H

Multiple Choice

Which side of the triangle is opposite of angle R?

• QP

• QR

• RP

Multiple Choice

Which side of the triangle is the hypotenuse?

• QP

• QR

• RP

Multiple Choice

Which side of the triangle is adjacent to angle R?

• QP

• QR

• RP

Multiple Choice

The hypotenuse is always across from the right angle of a triangle.

• False

• True

Multiple Choice

From ∠C, what side is BC?

• Adjacent
• Hypotenuse
• Opposite

Multiple Choice

From ∠C, what side is AB?

• Adjacent
• Hypotenuse
• Opposite

Multiple Choice

From ∠C, what side is AC?

• Adjacent
• Hypotenuse
• Opposite

Multiple Choice

From ∠A, what side is BC?

• Adjacent
• Hypotenuse
• Opposite

Multiple Choice

From ∠A, what side is AC?

• Adjacent
• Hypotenuse
• Opposite

Multiple Choice

From ∠A, what side is AB?

• Adjacent
• Hypotenuse
• Opposite

​The die is
16 mm or 1.6 cm.
The pushpin is 24 mm or 2.4 cm.

Do you know why?

Multiple Choice

Measure the following line in millimeters (mm). Include units.

• 26 mm

• 2.6 mm

• 2.6 cm

• 26 cm

Fill in the Blank

Measure the following line in millimeters (mm). Include units.

Fill in the Blank

Measure the following line in centimeters (cm). Include units.

.

Fill in the Blank

Measure the following line in centimeters (cm). Include units.

.

Fill in the Blank

Measure the following line in millimeters (mm). Include units.

​Use your Desmos scientific calculator
desmos.com/scientific

​keys to know
sin, cos, tan
fraction

Multiple Choice

Opposite = ?

Hypotenuse = 4

Which trig ratio uses these two sides?

• sine

• cosine

• tangent

Multiple Choice

 Find sinA

• $$\frac{32}{40}$$

• $$\frac{32}{24}$$

• $$\frac{24}{40}$$

• $$\frac{24}{32}$$

Multiple Choice

 Find sinC

• $$\frac{21}{35}$$

• $$\frac{28}{21}$$

• $$\frac{35}{21}$$

• $$\frac{28}{35}$$

Multiple Choice

What is the correct ratio to solve for w?

• $$\sin40\degree=\frac{w}{28}$$

• $$\cos40\degree=\frac{w}{28}$$

• $$\tan40\degree=\frac{w}{28}$$

• $$\sin40\degree=\frac{28}{w}$$

Multiple Choice

Set up an equation that could be used to solve for the variable.

Multiple Choice

Set up an equation that could be used to solve for the variable.

Multiple Choice

The ratio in a right triangle of adjacent to hypotenuse is _____

• sine

• cosine

• tangent

• hypotenuse

Multiple Choice

Which trig function do you use?

• Sine
• Cosine
• Tangent

Multiple Choice

Which is the correct set up to solve for x?

• $$\sin72\degree=\frac{6}{x}$$

• $$\cos72\degree=\frac{6}{x}$$

• $$\tan72\degree=\frac{6}{x}$$

Multiple Choice

What is the ratio for Tangent

• $$\frac{Opposite\ leg}{Adjacent\ leg}$$

• $$\frac{Adjacent\ leg}{Opposite\ leg}$$

• $$\frac{Opposite\ leg}{Hypotenuse}$$

• $$\frac{Hypotenuse}{Opposite\ leg}$$

Multiple Choice

Which trig ratio would you use for the following?

• Sin

• Cos

• Tan

• You would not be able to use trigonometry

Multiple Choice

What is the correct equation to solve for x ?

• $$\tan(46\degree)=\frac{17}{x}$$

• $$\sin(46\degree)=\frac{x}{17}$$

• $$\tan(46\degree)=\frac{x}{17}$$

• $$\cos(46\degree)=\frac{x}{17}$$

Multiple Choice

Which trigonometric ratio is correct?

• $$\sin A=\frac{opposite\ leg}{adjecent\ leg}$$

• $$\cos A=\frac{opposite\ leg}{hypotenuse}$$

• $$\tan A=\frac{opposite\ leg}{adjaent\ leg}$$

• $$\sin A=\frac{adjecent\ leg}{opposite\ leg}$$

Multiple Choice

Which is the correct set up to solve for x?

• $$\sin24\degree=\frac{x}{12}$$

• $$\cos24\degree=\frac{x}{12}$$

• $$\tan24\degree=\frac{x}{12}$$

Multiple Choice

Set up an equation that could be used to solve for the variable.

Multiple Choice

Find the value of tan X.

• $$\frac{3}{4}$$

• $$\frac{4}{3}$$

• $$\frac{5}{3}$$

• $$\frac{3}{5}$$

Multiple Choice

What would you use to solve for a?

• sin
• cos
• tan
• Pythagorean theorem

Multiple Choice

What is the side across from the right angle called?

• Leg
• Pythagoras
• Hypotenuse
• Altitude

Multiple Choice

What is the cosine of angle P?

• $$\frac{p}{q}$$

• $$\frac{q}{r}$$

• $$\frac{p}{r}$$

• $$\frac{r}{q}$$

Multiple Choice

Which Trig function do you use?

• Sine
• Cosine
• Tangent

Poll

Which response matches your understanding?

• 😁

  I get this.

• 🙂

  I get this but make a few mistakes

• 🙄

  I get the idea but need more practice.

• 😮

  I need to stay after school or come during lunch.