Height and Distance Trig

Find the measurement of the missing side indicated

• 4.98

• 5.98

• 3.20

• 4.18

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

• 31.5 feet
• 24.6 feet
• 51.2 feet
• 57.4 feet

Tags

CCSS.HSG.SRT.C.8

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground with a rope that is 125 feet long. Which of the options below is the angle of elevation, E, created by the tether rope? Round to the nearest tenth.

• 36.9°

• 53.1°

• 31.0°

• 59.0°

Tags

CCSS.HSG.SRT.C.8

Use the diagram to determine the height of the tree.

• 12.5 ft

• 11.9 ft

• 6.88 ft

• 15 ft

Tags

CCSS.HSG.SRT.B.5

Omar is hang gliding off a cliff that is 120 feet high. He needs to travel 350 feet to the landing zone ahead. What should his angle of descent, A, be? Round to the nearest tenth.

• 20.1°

• 69.9°

• 18.9°

• 71.1°

Tags

CCSS.HSG.SRT.C.8

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

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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Tags

CCSS.HSG.SRT.C.8

SIN (C) =

• 24/25
• 7/25
• 24/7
• 7/24

Tags

CCSS.HSG.SRT.C.6