Unit7 Practice Problems

The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4.8 degrees. Remember, a 4.8-degree angle in a right triangle has a 1:12 ratio for the legs. Select all ramps that meet the Americans with Disabilities Act requirements.

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Find the missing side in each triangle using any method

• AC= 24 Units

  DE= 13 Units

• AC= 17 Units

  DE= 22 Units

• AC= 13 Units

  DE= 24 Units

• AC= 19 Units

  DE= 15 Units

1. Priya says, “I know everything about a right triangle with a 30-degree angle and a hypotenuse with length 1 cm. Here, look.“  -The other angle is 60 degrees. -The leg adjacent to the 30-degree angle is 0.866 cm long. - The side opposite the 30-degree angle is 0.5 cm long. Han asks, “What would happen if a right triangle with a 30-degree angle has a hypotenuse that is 2 cm instead?“ 

3. Help them find the missing other angles and side lengths in the new triangle.

• 60 and 90 degrees,

  The Adjacent Leg: 1.732 cm

  The Opposite Side leg: 1 cm

• 60 and 90 degrees,

  The Adjacent Leg: 1 cm

  The Opposite Side leg : 1.732 cm

• 60 and 90 degrees,

  The Adjacent Leg: 1.873 cm

  The Opposite Side leg: 1.5 cm

• 60 and 90 degrees,

  The Adjacent Leg: 1.698 cm

  The Opposite Side leg: 1.6 cm

1. A step has a height of 6 inches. A ramp starts 5 feet away from the base of the step, making a  angle with the ground. What can you say about the angle the ramp would make with the ground if the ramp starts closer to the step? 

• The angle would decrease

• The angle would increase

• The angle would stay the same

• We cannot determine anything about the angle

1. Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 18 feet long and makes a 30-degree angle with the ground. How high is the kite?

• 7 Feet

• 8 Feet

• 9 Feet

• 10 Feet

Select all true statements below

1. Right triangle ABC is shown. 

Select all expressions which are equal to the length of side BC .

1. Andre was parasailing above a lake at an angle of elevation of 32 degree from a boat, as modeled in the diagram next. If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was Andre?

1. Based on the figure, which equation is true?

1. Match the ratio of side lengths to its corresponding angle measure.

• 14⁰

• 28⁰

• 58⁰

• 47⁰

• 82⁰