Right Triangle Height Calculation
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Questions and Answers

What is the name for the side opposite the right angle in a right triangle?

  • Base
  • Hypotenuse (correct)
  • Opposite
  • Adjacent

Which trigonometric function relates the opposite side and hypotenuse of a right triangle?

  • Cosine
  • Cotangent
  • Tangent
  • Sine (correct)

In a right triangle, which angle is always equal to 90 degrees?

  • Straight angle
  • Acute angle
  • Right angle (correct)
  • Obtuse angle

Which trigonometric ratio is defined as the ratio of the adjacent side to the hypotenuse?

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

What is the sum of all angles inside any triangle?

<p>$180^{\circ}$ (B)</p> Signup and view all the answers

Flashcards

What is the height of a triangle?

A line segment from a vertex perpendicular to the opposite side (or its extension).

What is the 'opposite' side in trigonometry?

The side opposite the given angle in a right triangle.

What is the tangent function?

tan(angle) = Opposite / Adjacent

How to relate height and base to the 38° angle?

In the given triangle, the height (h) is opposite the 38° angle, and the base (4 cm) is adjacent.

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What is the height h if the base is 4 cm and the angle is 38°?

h = 4 * tan(38°) ≈ 3.125 cm

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Study Notes

  • The image shows a right triangle.
  • The goal is to determine the height h of a triangle with:
  • A base that is 4 cm in length
  • An angle is 38° from the base

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Description

Calculate the height of a right triangle given the base and one angle. Use trigonometric functions to find the unknown height, given a base of 4 cm and an angle of 38 degrees.

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