Overlapping Triangle Trig Problems

What is the length of y?

• 8√2

• 4√2

• 4

• 8

Tags

CCSS.HSG.SRT.C.8

What is the value of x?

• 18√2

• 18

• 2√9

• 9√2

Tags

CCSS.8.G.B.7

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

Tags

CCSS.HSG.CO.C.10

solve for x

• 5552363959656.

• 10

• 100

• 89

Tags

CCSS.8.G.B.7

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Tags

CCSS.8.G.B.7

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 

Tags

CCSS.HSG.SRT.C.8

From ∠C, what side is AB?

• Adjacent

• Hypotenuse

• Opposite

Tags

CCSS.HSG.SRT.C.6

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Tags

CCSS.HSG.SRT.C.6

Solve for x. Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8