Solving for Sides Using Trigonometry

Finding Side Lengths Using Trigonometry

By Deb Scott

​Objective: Use Trig to find side lengths

Multiple Choice

The side labelled x is the:

• adjacent side

• Opposide side

• Hypotenuse

Multiple Choice

The side labelled y is the:

• adjacent side

• Opposide side

• Hypotenuse

Multiple Choice

The side labelled z is the:

• adjacent side

• Opposide side

• Hypotenuse

Multiple Choice

Ms Scott wants to find the value of h. Which two side lengths should she use?

• A and H

• A and O

• O and H

Multiple Choice

Which trig ratio would you use to solve for x?

• Sine

• Cosine

• Tangent

Using Cos, set up a proportion and solve for x.

Set up a proportion and solve for y.

Solve the following triangle for x and y.

Multiple Choice

Find the length of side w.

• 21.4 cm
• 18.0 cm
• 36.5 cm
• 43.6 cm

Multiple Choice

Solve for x.

• 10
• 11.3
• 12.0
• 15.0

Multiple Choice

Solve for x.

• 50.7
• 50.1
• 60.7
• 61.0

Multiple Choice

Find the missing value.

Round to the nearest tenths.

• 33.9 mm

• 3.4 mm

• 10.5 mm

• 36.2 mm

Fill in the Blanks

Solve for x. Round to the nearest tenth.

Fill in the Blanks

Solve for x. Round to the nearest tenth if needed.

Fill in the Blanks

Solve for x. Round to the nearest tenth if needed.

Fill in the Blanks

Solve for x. Round to the nearest tenth if needed.

Fill in the Blanks

Solve for x. Round to the nearest tenth if needed.

Fill in the Blanks

What is the length of AC? Round to the nearest tenth.

Fill in the Blanks

What is the length of AB? Round to the nearest tenth.

Poll

I know how to set up equations with sine, cosine, and tangent.

• Every time

• Most of the time

• Some of the time

• Rarely did I get this correct

Poll

$$\sin\left(30\right)=\frac{x}{10}$$  

I know how to solve equations like this one, where the x in in the numerator

• Every time

• Most of the time

• Some of the time

• Rarely did I get this correct

Poll

$$\sin\left(30\right)=\frac{10}{x}$$  

I know how to solve equations like this one, where the x in in the denominator

• Every time

• Most of the time

• Some of the time

• Rarely did I get this correct

Poll

I know how to enter trigonometry expressions in the calculator to find the missing side

• Every time

• Most of the time

• Some of the time

• Rarely did I get this correct