Real-Life Applications of Sohcahtoa: Sine and Cosine Skills

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?

• 10.25 feet

• 15.59 feet

• 18.40 feet

• 12.75 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?

• 7.2 meters

• 5.77 meters

• 3.5 meters

• 10 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 above the ground?

• 1.71 meters

• 3.00 meters

• 2.50 meters

• 4.00 meters

A boat is anchored 100 meters from the shore. If a line from the boat to a point on the shore makes a 45-degree angle with the water, how deep is the water at that point?

• 75 meters

• 50 meters

• 100 meters

• 150 meters

A construction worker is standing 30 feet away from the base of a building. If he looks up at an angle of 40 degrees to see the top of the building, how tall is the building?

• 25.2 feet

• 20 feet

• 30 feet

• 15 feet

A kite is flying at a height of 50 meters. If the string makes a 30-degree angle with the ground, how long is the string?

• 120 meters

• 90 meters

• 100 meters

• 75 meters

A person is standing 12 meters away from a building and looks up at an angle of 70 degrees to see the top of the building. How tall is the building?

• 40 meters

• 32.96 meters

• 25.5 meters

• 15 meters

A 25-foot tall tree casts a shadow that is 15 feet long. What is the angle of elevation from the tip of the shadow to the top of the tree?

• 75 degrees

• 59.04 degrees

• 45 degrees

• 30 degrees

A ramp is designed to rise 3 feet over a horizontal distance of 12 feet. What angle does the ramp make with the ground?

• 10.5 degrees

• 25 degrees

• 20 degrees

• 14.04 degrees