19.20 Right Triangle Word Problems

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.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.  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.6

CCSS.HSG.SRT.C.8

A lighthouse is due east of a sailboat.  The sailboat's dock is 30 km straight north of the lighthouse.  The angle of elevation between the captain on the boat and the dock is 35 degrees.  How far is the sailboat from the dock?

• 17.2 km
• 24.5 km
• 52.3 km
• 60 km

What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine
• cosine
• tangent
• inverse sine

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?

• 19.80
• 18.71
• 70.20
• 71.29

Tags

CCSS.HSF.TF.B.7

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The angle of 12^o is a(n)

• angle of elevation
• angle of depression
• neither
• both

Does the 70⁰ represent an angle of elevation or an angle of depression?

• Angle of Elevation

• Angle of Depression

• Neither

• Both