Trigonometry in Action: Right Triangle Challenges

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet on the wall. What is the length of the ladder?

• 12 feet

• 10 feet

• 8 feet

• 5 feet

A right triangle has one leg measuring 5 cm and an angle of 30 degrees adjacent to that leg. What is the length of the other leg?

• 2.5√3 cm

• 10 cm

• 5 cm

• 5√3/3 cm

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 45 degrees, how tall is the tree?

• 15 meters

• 20 meters

• 5 meters

• 10 meters

A ramp is built to help wheelchair access. If the ramp makes a 20-degree angle with the ground and is 4 meters long, how high does the ramp rise?

• 2.5 meters

• 1.368 meters

• 3.0 meters

• 1.0 meters

A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?

• 10 cm

• 12 cm

• 14 cm

• 8 cm

A kite is flying at a height of 30 meters. If the string makes a 60-degree angle with the ground, how long is the string?

• 25√2 meters

• 15 meters

• 20√3 meters

• 30 meters

A right triangle has an angle of 45 degrees and one leg measuring 10 inches. What is the length of the hypotenuse?

• 10 inches

• 20 inches

• 5√2 inches

• 10√2 inches

A building is 50 meters tall. From a point on the ground, the angle of elevation to the top of the building is 30 degrees. How far is the point from the base of the building?

• 50√3 meters

• 50√2 meters

• 25 meters

• 100 meters

A right triangle has a hypotenuse of 15 m and an angle of 30 degrees. What is the length of the side opposite the 30-degree angle?

• 10 m

• 5 m

• 12 m

• 7.5 m

A person stands 20 feet away from a flagpole and looks up at an angle of 60 degrees. How tall is the flagpole?

• 15 feet

• 40 feet

• 34.64 feet

• 25 feet