30-60-90 and 45 Right Triangle Trigonometry

Find x.

• 10

• √3

• 5

• 10√3

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

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

What is the cosine of angle P?

• p/q

• q/r

• p/r

• r/q

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √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

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3

I have been given the long leg in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 7 by 2

• Multiply 7 by √3

• Divide 7 by 2

• Divide 7 by √3

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3

• 16√3

• 32

• 16√2

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3

• x = 3√2 y = 3

• x = 3√3 y = 6

• x = 6 y = 3√2