Review - Q4 First Major Examination

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Choose the correct values for x and y in the right triangle.

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

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by 2

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

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

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

• 24/32
• 32/24
• 32/40
• 24/40

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Choose the correct ratio.

• sinZ=5/13
• sinX=5/13
• cosX=13/12
• tanZ=12/5

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees
• 45 degrees
• 71 degrees
• 138 degrees 

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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 

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8