Real-Life Sohcahtoa: Sine & Cosine Applications Quiz

A ladder is leaning against a wall, forming a 75-degree angle with the ground. If the base of the ladder is 4 feet away from the wall, how tall is the ladder?

• 16.2 feet

• 14.3 feet

• 10.5 feet

• 12.0 feet

A tree casts a shadow that is 10 meters long. If the angle of elevation from the tip of the shadow to the top of the tree is 30 degrees, how tall is the tree?

• 5.77 meters

• 8.2 meters

• 12.0 meters

• 3.5 meters

A ramp is built at a 20-degree angle to the ground. If the ramp is 5 meters long, how high does it rise?

• 3.14 meters

• 2.50 meters

• 1.71 meters

• 4.00 meters

A surveyor is standing 50 meters away from a building and measures the angle of elevation to the top of the building as 45 degrees. How tall is the building?

• 100 meters

• 50 meters

• 70 meters

• 30 meters

A kite is flying at an angle of 60 degrees from the ground. If the string of the kite is 30 meters long, how high is the kite above the ground?

• 20 meters

• 25.98 meters

• 15 meters

• 30 meters

A person is standing 15 meters away from a flagpole and measures the angle of elevation to the top of the flagpole as 40 degrees. How tall is the flagpole?

• 15 meters

• 12.14 meters

• 8.2 meters

• 10.5 meters

A boat is anchored 100 meters from a dock. If the angle of elevation from the boat to the top of the dock is 35 degrees, how high is the dock above the water?

• 50.0 meters

• 30.0 meters

• 70.0 meters

• 90.0 meters

A construction worker is on a scaffold that is 12 feet high. If the angle of elevation to the top of a nearby building is 50 degrees, how tall is the building?

• 9.2 feet

• 13.19 feet

• 10.5 feet

• 15.8 feet

A ramp leads up to a loading dock at a 25-degree angle. If the ramp is 8 meters long, how high does it rise?

• 5.25 meters

• 2.50 meters

• 3.38 meters

• 4.00 meters

A person is standing 20 meters away from a statue and sees the top of the statue at an angle of elevation of 30 degrees. How tall is the statue?

• 11.55 meters

• 15 meters

• 5 meters

• 25 meters