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Applications Involving Right Triangles

A ramp has been built to make a stage wheelchair accessible. The building inspector needs to find the angle of the ramp to see if it meets regulations. He has no instrument for measuring angles. With a tape measure, he sees the stage is 4 ft high and the distance along the ramp is 28 ft.

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Applications Involving Right Triangles

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  1. A ramp has been built to make a stage wheelchair accessible. The building inspector needs to find the angle of the ramp to see if it meets regulations. He has no instrument for measuring angles. With a tape measure, he sees the stage is 4 ft high and the distance along the ramp is 28 ft.

  2. Applications Involving Right Triangles Section 5.1

  3. What will you need? • Pythagorean Theorem • SOH CAH TOA • Keep your calculator in DEGREES when solving problems involving triangles!

  4. Given 2 angles (1 that’s a right angle) and a side: • Find the 3rd angle • Use SOH CAH TOA to find the 2nd side • Use the Pythagorean Theorem to find the 3rd side

  5. Given 2 sides and a right angle: • Find the 3rd side using the Pythagorean Theorem • Use SOH CAH TOA to find the 2nd angle • Find the 3rd angle

  6. Page 293 #9

  7. Page 293 #12

  8. Page 293 #19

  9. Page 293 #20

  10. Page 293 #25

  11. A ramp has been built to make a stage wheelchair accessible. The building inspector needs to find the angle of the ramp to see if it meets regulations. He has no instrument for measuring angles. With a tape measure, he sees the stage is 4 ft high and the distance along the ramp is 28 ft.

  12. Pages 293-294(15, 18, 21, 22, 27, 28, 31, 32)

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