Podcast
Questions and Answers
Given a triangle with a base of 4 cm and one angle of 38 degrees, what trigonometric function can be used to find the height h?
Given a triangle with a base of 4 cm and one angle of 38 degrees, what trigonometric function can be used to find the height h?
- Cosine
- Tangent (correct)
- Sine
- Cotangent
In the given triangle, which side is adjacent to the 38° angle if you're trying to find the height h?
In the given triangle, which side is adjacent to the 38° angle if you're trying to find the height h?
- Hypotenuse
- Opposite
- The base, 4 cm (correct)
- The height, *h*
Using the tangent function and the information provided, which equation is correct for finding the height h?
Using the tangent function and the information provided, which equation is correct for finding the height h?
- $sin(38°) = \frac{h}{4}$
- $cos(38°) = \frac{h}{4}$
- $tan(38°) = \frac{4}{h}$
- $tan(38°) = \frac{h}{4}$ (correct)
To solve for h in the equation $tan(38°) = \frac{h}{4}$, what operation must be performed on both sides of the equation?
To solve for h in the equation $tan(38°) = \frac{h}{4}$, what operation must be performed on both sides of the equation?
What is the approximate value of $tan(38°)$?
What is the approximate value of $tan(38°)$?
Flashcards
What is triangle height?
What is triangle height?
A triangle's height is the perpendicular distance from its base to the opposite vertex.
What is trigonometry?
What is trigonometry?
Trigonometry is the branch of mathematics dealing with relationships between the sides and angles of triangles.
What is the tangent function?
What is the tangent function?
Tangent (tan) of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
How find height given angle?
How find height given angle?
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Formula for height (adjacent & angle)
Formula for height (adjacent & angle)
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Study Notes
- The image provided shows a right angled triangle.
- One of the angles is 38 degrees.
- The base of the triangle is 4cm long.
- The height of the triangle is indicated by the letter "h".
- The question posed is to calculate the height, "h", of the triangle.
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Description
Calculate the height of a right-angled triangle. Given one angle (38 degrees) and the base (4 cm), use trigonometric functions to find the height. This task involves applying trigonometric ratios in a practical geometry problem.
