Height and Distance Trig

Find the measurement of the missing side indicated

• 4.98

• 5.98

• 3.20

• 4.18

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x

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

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°

Use the diagram to determine the height of the tree.

• 12.5 ft

• 11.9 ft

• 6.88 ft

• 15 ft

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°

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 

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 

SIN (C) =

• 24/25
• 7/25
• 24/7
• 7/24