Solving Right Triangle Using Ratios

What type of triangles do you use the trig ratios with?

• any type

• right triangle

• obtuse triangle

• acute triangle

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

• 49°

• 57°

• 45°

• 54°

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

Find each trig ratio.

sin D = ​ (a)  

cos D = ​ (b)  

tan D = ​ (c)  

• 20/29

• 21/29

• 20/21

• 29/20

• 29/21

• 21/20

Give each trig ratio as a fraction in simplest form for the given right triangle diagram.

sin R - ​ (a)  

cos R - ​ ​ (b)  

tan R - ​​ ​ (c)  

• 25/24

• 24/25

• 7/25

• 24/7

• 25/7

• 7/24

Give each trig ratio as a fraction in simplest form for the given right triangle diagram.

sin Q - ​ (a)  

cos Q - ​ ​ (b)  

tan Q - ​​ (c)  

• 25/24

• 7/24

• 24/25

• 7/25

• 24/7

• 25/7

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

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• 
• 
• 

What is the correct equation for this diagram?

Solve for x. round to the hundreths.

Mathematical Equivalence

ON

Find a.

• 3

• 6