Right Triangles: Sides & Angles

Sally the squirrel is looking at a tree that is 100 feet away. If the angle of elevation between Sally and the top of the tree is 23, how tall is the tree?

• 42.4474 ft
• 235.5852 ft
• 0.0042 ft
• 39.0731 ft

Tags

CCSS.HSG.SRT.C.8

A plane is 30,000 feet off the ground when it begins its approach to the runway. How far is the plane from the runway if the pilot lowers the nose at an angle of depression of 12 to meet the runway?

• 29,344.4280 ft
• 30,670.2178 ft
• 6,376.6968 ft
• 144,292.0303 ft

Tags

CCSS.HSG.SRT.C.8

A straight water slide makes a 40 angle with the surface of the water. If the slide is 11.5 meters high, how long is the slide?

• 7.3920 m
• 15.0121 m
• 17.8908 m
• 8.8095 m

Tags

CCSS.HSG.SRT.C.8

A tree 10 meters high casts a 17.3-meter shadow. What is the angle of depression of the sun?

• 59.9705 m
• 35.3124 m
• 54.6875 m
• 30.0294 m

Tags

CCSS.HSG.SRT.C.8

A great white shark swims 22 feet below the sea level. If the shark is 67.7 feet from the sailboat, what is the angle of depression of the boat to the shark?

• 18.9633 ft
• 71.0366 ft
• 18.0022 ft
• 71.9977 ft

Tags

CCSS.HSG.SRT.C.8

A 20-foot ladder is leaned against a wall, with the base of the ladder 7 feet away from the wall. What is the angle of elevation of the ladder?

• 70.7099 
• 69.5126 
• 19.2900 
• 20.4873 

Tags

CCSS.HSG.SRT.C.8

You need to place a 15-foot ladder so that it reaches the top of the house that is 12 feet tall. How far from the base of the house do you need to place the ladder?

• 15.4919 ft
• 81 ft
• 9 ft
• 240 ft

A baseball diamond is a square that is 90 feet on each side. If a player throws the ball from 2^nd base to home, how far will the ball travel?

• 180 ft
• 8100 ft
• 18.9736 ft
• 127.2792 ft

Tags

CCSS.8.G.B.8

The bottom of a 14-foot straight ladder is set into the ground 7 feet away from a wall. When the top of the ladder is leaned against the wall, its angle of elevation is 60. What is the distance above the ground it will reach?

• 12.1243 ft
• 4.0414 ft
• 7 ft
• 9.8994 ft

Tags

CCSS.HSG.SRT.C.8

In shop class, you made a square table.  If the diagonal of the table measures 42 inches, how big is the table on each side?

• 36.3730 ft
• 29.6984 ft
• 6.4807 ft
• 59.3969 ft