Mastering 30-60-90 Triangles: Pythagorean & Angles Quiz

A ladder leans against a wall, forming a 30-degree angle with the ground. If the base of the ladder is 6 feet from the wall, how tall is the ladder?

• Approximately 4.50 feet

• Approximately 3.46 feet

• Approximately 2.00 feet

• Approximately 5.20 feet

A triangular park has a 30-60-90 layout. If the shortest side is 10 meters, what is the length of the longest side?

• 30 meters

• 15 meters

• 25 meters

• 20 meters

A 30-60-90 triangle is formed by a ramp. If the height of the ramp is 4 feet, how long is the base of the ramp?

• 4√2 feet

• 2 feet

• 8 feet

• 4√3/3 feet

In a 30-60-90 triangle, if the length of the longer leg is 12 inches, what is the length of the hypotenuse?

• 8 inches

• 6 inches

• 10 inches

• 14 inches

A roof is designed with a 30-degree angle. If the height of the roof is 8 feet, how long is the base of the triangle formed by the roof?

• 8√3 feet

• 10 feet

• 6 feet

• 12 feet

A 30-60-90 triangle is used in a construction project. If the hypotenuse is 15 feet, what is the length of the shorter leg?

• 10 feet

• 7.5 feet

• 12 feet

• 5 feet

A triangular garden has a 60-degree angle. If the length of the longer leg is 5 meters, what is the length of the shorter leg?

• 1 meter

• 2.5 meters

• 3 meters

• 4 meters

A 30-60-90 triangle is used to determine the height of a tree. If the distance from the tree to the observer is 10 feet, what is the height of the tree?

• 15 feet

• 17.32 feet

• 20 feet

• 10 feet

In a 30-60-90 triangle, if the shorter leg measures 7 cm, what is the measure of the angle opposite the longer leg?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees

A triangular window has a 30-degree angle. If the height of the window is 3 feet, how wide is the base of the window?

• 6.000 feet

• 7.500 feet

• 5.196 feet

• 4.000 feet