Soh Cah Toa Word Problems

Choose the correct ratio.

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

Tags

CCSS.HSG.SRT.C.6

Choose the correct ratio.

• sin(37)=x/14
• cos(37)=x/14
• tan(37)=x/14
• sin(37)=14/x

Tags

CCSS.HSG.SRT.C.6

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.C.6

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

Tags

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. How long is the sight line from the boat to the top of the lighthouse?

• 25 feet

• 100 feet

• 44 feet

• 135 feet

Tags

CCSS.HSG.SRT.C.8

Solve for the missing angle.

• 50.5 degrees
• 12.7 degrees
• 36.9 degrees
• 72.2 degrees

Tags

CCSS.HSG.SRT.C.8

Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25^o.  What is the length of the Spencer’s run (his trip down the hill)? 

• 3216.76 feet
• 633.93 feet
• 699.46 feet
• 3549.30

Tags

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.  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 

Tags

CCSS.HSG.SRT.C.8