Inverse Trig in Real Life

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1) A right triangle has opposite side 3 and adjacent side 4. What is the acute angle?
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Inverse Trig In Real Life - Quiz

Curious how to find angles when you already know the sides? In this quiz, you’ll use inverse trigonometric functions — arcsin, arccos, and arctan — to solve real-world problems involving ladders, ramps, screens, and triangles. You’ll learn to model situations, calculate precise angles, and connect geometry with trigonometric reasoning. By... see morethe end, you’ll feel confident using inverse trig to uncover hidden angles in everyday structures! see less

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2) A rectangular screen is 12 cm wide and 5 cm tall. What is the angle from the base to the top corner?
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3) A ladder is 8 m long and touches the wall 6 m high. What is the angle with the ground?
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4) A right triangle has adjacent side 7 and hypotenuse 25. What is the acute angle?
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5) A right triangle has adjacent side 7 and hypotenuse 25. What is the acute angle?
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6) A rectangle is 9 m long and 12 m tall. What is the angle of its diagonal with the base?
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7) A right triangle has opposite side 8 and hypotenuse 17. What is the acute angle?
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8) A photo measures 4 cm by 3 cm. What angle does the diagonal make with the base?
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9) A 12 m string is stretched between the ground and a point 9 m above. What is the angle at the ground?
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10) A right triangle has sides 5, 12, 13. Find the angle opposite side 5.
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11) A rectangular field measures 20 m by 21 m. What is the angle the diagonal makes with the longer side?
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12) A right triangle has opposite 15 and adjacent 20. What is the acute angle?
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13) A 5 m board is placed so the vertical height is 4 m. What is the angle with the base?
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14) A square has side 10 cm. What is the angle the diagonal makes with the side?
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15) A right triangle has adjacent 9 and hypotenuse 41. What is the acute angle?
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16) A right triangle has opposite 7 and hypotenuse 25. What is the acute angle?
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17) A screen measures 16 cm by 12 cm. What is the angle its diagonal makes with the base?
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18) A triangle has sides 9, 40, 41. Find the angle opposite side 9.
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19) A right triangle has opposite side 20 and adjacent 21. Find the acute angle.
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20) A rectangle measures 15 m by 8 m. What is the angle the diagonal makes with the longer side?
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A right triangle has opposite side 3 and adjacent side 4. What is the...
A rectangular screen is 12 cm wide and 5 cm tall. What is the angle...
A ladder is 8 m long and touches the wall 6 m high. What is the angle...
A right triangle has adjacent side 7 and hypotenuse 25. What is the...
A right triangle has adjacent side 7 and hypotenuse 25. What is the...
A rectangle is 9 m long and 12 m tall. What is the angle of its...
A right triangle has opposite side 8 and hypotenuse 17. What is the...
A photo measures 4 cm by 3 cm. What angle does the diagonal make with...
A 12 m string is stretched between the ground and a point 9 m above....
A right triangle has sides 5, 12, 13. Find the angle opposite side 5.
A rectangular field measures 20 m by 21 m. What is the angle the...
A right triangle has opposite 15 and adjacent 20. What is the acute...
A 5 m board is placed so the vertical height is 4 m. What is the angle...
A square has side 10 cm. What is the angle the diagonal makes with the...
A right triangle has adjacent 9 and hypotenuse 41. What is the acute...
A right triangle has opposite 7 and hypotenuse 25. What is the acute...
A screen measures 16 cm by 12 cm. What is the angle its diagonal makes...
A triangle has sides 9, 40, 41. Find the angle opposite side 9.
A right triangle has opposite side 20 and adjacent 21. Find the acute...
A rectangle measures 15 m by 8 m. What is the angle the diagonal makes...
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