SOHCAHTOA: Right Triangles & Angle Calculations Quiz

A ladder leans against a wall, forming a right triangle with the ground. If the ladder is 10 feet long and the base is 6 feet from the wall, what is the angle between the ladder and the ground?

• 53.13 degrees

• 30 degrees

• 75 degrees

• 90 degrees

A tree casts a shadow that is 15 feet 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 feet

• 10 feet

• 5√3 feet

• 12 feet

A ramp is built to allow access to a building. If the ramp makes a 45-degree angle with the ground and is 8 feet long, how high does the ramp rise?

• 3 feet

• 4√2 feet (approximately 5.66 feet)

• 5 feet

• 6 feet

A surveyor measures a 50-meter tall building and finds that the angle of elevation from a point 30 meters away from the base of the building is 60 degrees. What is the height of the building?

• 60 meters

• 50 meters

• 40 meters

• 70 meters

A kite is flying at a height of 40 meters. If the string makes a 30-degree angle with the ground, how long is the string?

• 80 meters

• 60 meters

• 100 meters

• 50 meters

A right triangle has one angle measuring 35 degrees and the adjacent side is 12 meters long. What is the length of the opposite side?

• 6.2 meters

• 8.4 meters

• 12.0 meters

• 10.5 meters

A person stands 20 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?

• 25 meters

• 16.78 meters

• 12.3 meters

• 10.5 meters

A boat is anchored 100 meters from the shore. If the angle of elevation from the boat to the top of a cliff is 25 degrees, how high is the cliff?

• 100 meters

• 30 meters

• 46.63 meters

• 75 meters

A right triangle has a hypotenuse of 13 meters and one angle measuring 53 degrees. What is the length of the adjacent side?

• 5.5 meters

• 7.82 meters

• 9.1 meters

• 10.3 meters

A construction worker needs to determine the height of a building. Standing 50 meters away, he measures the angle of elevation to the top of the building as 37 degrees. How tall is the building?

• 37.68 meters

• 45.2 meters

• 60 meters

• 25.5 meters