Right Triangle Trigonometry and Inverse Trigonometry

• A
• B
• C
• D

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

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

• A
• B
• C
• D

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 

Set up the problem so that you can solve for X.

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft 

Solve for the misssing distance

• 18.9

• 19.5

• 47

• 27.5

How can you identify the hypotenuse of any right triangle?

• the shortest side

• the side attached to the right angle

• the side directly across from the right angle

• the side directly across from the most acute angle

If you are given the hypotenuse and an adjacent side, which trig function should you use?

• sine

• cosine

• tangent