Angles of Elevation and Depression

A 20-foot ladder is leaning against a wall. If the ladder makes a 60-degree angle with the ground, how far is the base of the ladder from the wall?

• 22 feet

• 10.0

• 19.5 feet

• 15.5 feet

A person standing on top of a building looks down at an angle of depression of 30 degrees to see a car parked on the street. If the building is 50 feet tall, how far is the car from the base of the building?

• Approximately 43.30 feet

• Approximately 60.50 feet

• Approximately 86.60 feet

• Approximately 120 feet

From the top of a lighthouse, the angle of depression to a boat is 45 degrees. If the lighthouse is 100 feet tall, how far is the boat from the base of the lighthouse?

• 75 feet

• 100 feet

• 50 feet

• 125 feet

A person standing 100 feet away from a building looks up at an angle of elevation of 30 degrees to the top of the building. How tall is the building?

• 72.51 feet

• 63.24 feet

• 57.74 feet

• 45.98 feet

A ladder is leaning against a wall. If the ladder makes a 45-degree angle with the ground and the base of the ladder is 12 feet from the wall, how long is the ladder?

• 20 feet

• 16.97 feet

• 18.25 feet

• 14.5 feet

A hot air balloon is floating at an angle of elevation of 60 degrees. If the balloon is 200 feet above the ground, how far is it from the observer?

• Approximately 90.25 feet

• Approximately 150.32 feet

• Approximately 115.47 feet

• Approximately 180.67 feet

A person standing on a hill looks down at an angle of depression of 20 degrees to see a river. If the hill is 80 meters high, how far is the river from the base of the hill?

• 226.28 meters

• 219.798 meters

• 100.65 meters

• 150.43 meters

A tower casts a shadow of 40 meters when the angle of elevation of the sun is 30 degrees. What is the height of the tower?

• 23.08 meters

• 35.64 meters

• 18.25 meters

• 42.37 meters