Trigonometric Ratios & Word Problems

Select the acronym that is used to remember the trigonometric ratios.

• Sah Coh Toa

• Soh Cah Toa

• Soh Cah Tao

• Soh Ceh Toa

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.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.D.11

What is the correct equation to solve for x?

• tan (45) = x/13
• cos (45) = x/13
• sin (45) = 13/x
• sin (45) = x/13

Tags

CCSS.HSG.SRT.C.6

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 

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. 

• 63.6 ft
• 1.59 ft
• 74.2 ft
• 86.9 ft

Tags

CCSS.HSG.SRT.C.8

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?

• 15 miles
• 38 miles
• 17 miles
• 20 miles

Tags

CCSS.HSG.SRT.C.8