Trigonometry Problems Quiz
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Questions and Answers

What is the angle of elevation of the top of the tower?

  • 30.5 degrees
  • 69.3 degrees (correct)
  • 52.1 degrees
  • 45.8 degrees

What is the area of the given triangle ABC?

  • 324.332 cm^2 (correct)
  • 275.326 cm^2
  • 250.112 cm^2
  • 400.587 cm^2

If sin(A) = 2.511x, what is the value of A in degrees?

  • -2.364 degrees
  • 0.256 degrees (correct)
  • -0.823 degrees
  • 1.045 degrees

What is the value of sin(A) if the angle A is 6 degrees?

<p>0.105 (D)</p> Signup and view all the answers

If a tower has an angle of elevation of 69.3 degrees, what is its height?

<p>273.1 m (C)</p> Signup and view all the answers

In a given triangle ABC, if one side measures 374 m, what is the length of the other side if the angle between them is 33.51 degrees?

<p>990 m (B)</p> Signup and view all the answers

What is the value of sin(13A) if sin(A) = 2.511x?

<p>0.256x (B)</p> Signup and view all the answers

If a right triangle is inscribed in a circle, what is the measure of the angle A in degrees?

<p>90 (C)</p> Signup and view all the answers

What is the area of the given triangle ABC if one side measures 374 m and the other side measures 1000 m?

<p>191,982 cm^2 (B)</p> Signup and view all the answers

Study Notes

Angle of Elevation

  • The angle of elevation of the top of the tower can be calculated using trigonometry.

Triangle ABC

  • The area of triangle ABC can be found using the base and height of the triangle.
  • One side of triangle ABC measures 374 m.
  • The length of the other side of triangle ABC can be found using trigonometry, given an angle of 33.51 degrees.

Sine Function

  • If sin(A) = 2.511x, then A can be found by taking the inverse sine of 2.511x.
  • If A = 6 degrees, then sin(A) = sin(6) = 0.1045 (approximately).
  • If sin(A) = 2.511x, then sin(13A) = sin(13 × A) can be calculated using the sine function.

Right Triangle

  • In a right triangle inscribed in a circle, the measure of angle A can be found using trigonometry.

Angle Elevation and Height

  • If a tower has an angle of elevation of 69.3 degrees, its height can be calculated using trigonometry.

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Description

Test your trigonometry skills with this quiz containing various problems related to angles, elevation, triangles, and trigonometric functions. Solve the given questions to assess your understanding of trigonometry concepts.

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