Solving Right Triangle Trig Problems: Angles & Heights

A ladder leans against a wall, forming a right triangle with the ground. If the ladder is 10 feet long and the base of the ladder is 6 feet from the wall, how high up the wall does the ladder reach?

• 10 feet

• 6 feet

• 8 feet

• 4 feet

A 30-foot tall tree casts a shadow of 15 feet. What is the angle of elevation from the tip of the shadow to the top of the tree?

• 30 degrees

• 45 degrees

• 75 degrees

• 63.43 degrees

A right triangle has one angle measuring 45 degrees and the adjacent side is 8 meters long. What is the length of the opposite side?

• 12 meters

• 8 meters

• 10 meters

• 6 meters

A ramp is built to allow access to a building. If the ramp makes a 20-degree angle with the ground and is 12 feet long, how high does the ramp rise?

• 4.10 feet

• 6.0 feet

• 3.5 feet

• 5.2 feet

A surveyor measures a 50-meter tall building and finds that the angle of elevation from a point on the ground 40 meters away is 60 degrees. How tall is the building?

• 60 meters

• 40 meters

• 30 meters

• 50 meters

A right triangle has a hypotenuse of 13 cm and one angle measuring 30 degrees. What is the length of the side opposite the 30-degree angle?

• 6.5 cm

• 10 cm

• 7 cm

• 5 cm

A kite is flying at a height of 30 meters. If the string makes a 45-degree angle with the ground, how long is the string?

• 30 meters

• 20 meters

• 40√2 meters

• 30√2 meters

A right triangle has an angle of 35 degrees and an adjacent side of 10 meters. What is the length of the opposite side?

• 10.000 meters

• 7.002 meters

• 5.000 meters

• 8.500 meters

A person stands 25 meters away from a building and measures the angle of elevation to the top of the building as 70 degrees. How tall is the building?

• 75 meters

• 50 meters

• 90 meters

• 68.68 meters

A right triangle has a hypotenuse of 15 inches and an angle of 60 degrees. What is the length of the side adjacent to the 60-degree angle?

• 7.5 inches

• 10 inches

• 5 inches

• 12 inches