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Questions and Answers
Given a triangle with a base of 4 cm and one angle measuring 38° opposite to the height h, which trigonometric function can be used to directly calculate h without needing additional information?
Given a triangle with a base of 4 cm and one angle measuring 38° opposite to the height h, which trigonometric function can be used to directly calculate h without needing additional information?
- Cosine
- Tangent (correct)
- Sine
- Cotangent
A triangle has a base of 4 cm and an angle of 38° opposite to the height h. Which of the following equations correctly expresses the relationship to solve for h?
A triangle has a base of 4 cm and an angle of 38° opposite to the height h. Which of the following equations correctly expresses the relationship to solve for h?
- $h = 4 \times \cos(38)$
- $h = 4 / \tan(38)$
- $h = 4 \times \sin(38)$
- $h = 4 \times \tan(38)$ (correct)
Using the given triangle with a base of 4 cm and a 38° angle opposite the height h, what is the approximate height h in centimeters, rounded to two decimal places? (Note: $\tan(38°) ≈ 0.7813$)
Using the given triangle with a base of 4 cm and a 38° angle opposite the height h, what is the approximate height h in centimeters, rounded to two decimal places? (Note: $\tan(38°) ≈ 0.7813$)
- 4.00 cm
- 2.56 cm
- 5.12 cm
- 3.12 cm (correct)
In a similar triangle, the base is doubled to 8 cm, but the angle opposite the height remains 38°. How does the height, h, change compared to the original triangle?
In a similar triangle, the base is doubled to 8 cm, but the angle opposite the height remains 38°. How does the height, h, change compared to the original triangle?
If the angle opposite to the height h is increased while the base of the triangle remains constant at 4 cm, how does the height h change?
If the angle opposite to the height h is increased while the base of the triangle remains constant at 4 cm, how does the height h change?
Flashcards
Opposite Side
Opposite Side
The side opposite to the given angle in a right triangle.
Sine (sin)
Sine (sin)
The ratio of the opposite side to the hypotenuse in a right triangle.
Tangent (tan)
Tangent (tan)
A trigonometric function that relates an angle to the ratio of the opposite side and the adjacent side.
Identify Sides: Height & Base
Identify Sides: Height & Base
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Calculate Height (h)
Calculate Height (h)
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Study Notes
- An image shows a right triangle.
- The base of the triangle is 4cm
- The angle between the base, and the hypotenuse is 38 degrees.
- The height of the right triangle is noted 'h' - this is the value that needs to be calculated.
- The question asks: Which is the value of 'h' for the triangle shown.
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Description
Calculate the height of a right triangle. Given a base of 4cm and angle of 38 degrees. Determine the value of 'h' as the height.
