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Illustrative Mathematics - Geometry - Unit 4 - Lesson 4

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Last updated about 1 year ago
10 Questions
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1.
Angle B is an acute angle in a right triangle. What is a reasonable approximation for angle B if the ratio for the opposite leg divided by the hypotenuse is 0.67?
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2.
Estimate the values to complete the table.

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3.
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?“
Help them find the missing angles and side lengths in the new triangle. Explain or show your reasoning.
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6.
An equilateral triangle has side length 8 units. What is the area?
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7.
What is the length of the square’s side?
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8.
A step has a height of 6 inches. A ramp starts 5 feet away from the base of the step, making a 5.9o 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?
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This lesson is from Illustrative Mathematics. Geometry, Unit 4, Lesson 4. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/4/4/index.html ; accessed 29/July/2021.

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