Sohcahtoa and Special Right 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

Solve for x.

• 7.73

• 11.11

• 11.51

• 7.68

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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

What equation can be used to solve for x?

• Sin(40°)= x/40 

• Sin(40º)=x/19

• Cos(40º)=x/19

• Tan(40°)=19/x

Which trig function would you use with this diagram?

• ^Sin

• ^Cos

• ^Tan

• ^Wha??

• x = 17.75
  y = 38.06
• x = 38.06
  y = 17.75
• x = 19.58
  y = 37.16
• x = 37.16
  y = 19.58

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

• 8√2

• 16

• 8