Pythagorean Theorem and Right Triangle Trigonometry

What would you use to solve for a?

• sin

• cos

• tan

• Pythagorean theorem

Solve for the missing angle.

• 50

• 0.053

• 36.9

• 95

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 is the length of the missing side?

• 3

• 8

• 12

• 18

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

• 4√2

• 4

• 8

• 4√3

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

Find the value of y.

• 8

• 4

• 2√3

• 8√3

Solve for the missing distance.

• 18.9

• 19.5

• 47

• 27.5

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

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet