Sohcahtoa Special Triangles

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 44 feet 

• 110 feet 

• 135 feet 

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

Solve for u and v in the special right triangle.

• v = 9√3, u = 6√3

• v = 6√3 u = 9√3

• v = 9, u = 6√3

• v = 3√6, u = 6√3

Solve for x and y in the special right triangle.

• x = 7, y = 7√2

• x = 14 y = 7√2

• x = 14√2 y = 7√2

• x = 14 y = 14√2

Which is the correct ratio?

• sin 28 = x/14

• cos 28 = x/14

• tan 28 = x/14

• tan 28 = 14/x

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

• A
• B
• C
• D