Overlapping Triangle Trig Problems

What is the length of y?

• 8√2

• 4√2

• 4

• 8

What is the value of x?

• 18√2

• 18

• 2√9

• 9√2

What are u and v in this 30-60-90 triangle?

• v = 2√3 u = 6

• v = 4 u = 4√3

• v = 4 u = 4√2

• v = 4√3 u = 8√3

solve for x

• 5552363959656.

• 10

• 100

• 89

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

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

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

From ∠C, what side is AB?

• Adjacent

• Hypotenuse

• Opposite

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Solve for x. Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft