Podcast
Questions and Answers
If $\sin(\theta) = \frac{5}{13}$ and $\theta$ is an acute angle in a right triangle, what is the value of $\cos(\theta)$?
If $\sin(\theta) = \frac{5}{13}$ and $\theta$ is an acute angle in a right triangle, what is the value of $\cos(\theta)$?
- $\frac{12}{5}$
- $\frac{12}{13}$ (correct)
- $\frac{13}{12}$
- $\frac{5}{12}$
An observer stands 200 meters from a building and observes the angle of elevation to the top of the building to be 30 degrees. Approximately how tall is the building?
An observer stands 200 meters from a building and observes the angle of elevation to the top of the building to be 30 degrees. Approximately how tall is the building?
- 100 meters
- 173.20 meters
- 115.47 meters (correct)
- 120 meters
In triangle ABC, angle A = 60 degrees, side b = 10, and side a = 8. Which law can be used to find angle B, and what is the approximate value of sin(B)?
In triangle ABC, angle A = 60 degrees, side b = 10, and side a = 8. Which law can be used to find angle B, and what is the approximate value of sin(B)?
- Law of Cosines; 0.866
- Law of Cosines; 0.693
- Law of Sines; 0.866
- Law of Sines; 0.693 (correct)
Given a triangle where a = 5, b = 7, and C = 60 degrees, calculate the length of side 'c' using the law of cosines.
Given a triangle where a = 5, b = 7, and C = 60 degrees, calculate the length of side 'c' using the law of cosines.
A ladder leans against a wall, making an angle of 70 degrees with the ground. If the foot of the ladder is 5 feet away from the wall, how high up the wall does the ladder reach (approximately)?
A ladder leans against a wall, making an angle of 70 degrees with the ground. If the foot of the ladder is 5 feet away from the wall, how high up the wall does the ladder reach (approximately)?
Flashcards
Sine (sin)
Sine (sin)
The ratio of the length of the side opposite to the angle to the length of the hypotenuse.
Cosine (cos)
Cosine (cos)
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
Tangent (tan)
Tangent (tan)
The ratio of the length of the side opposite to the angle to the length of the side adjacent to the angle.
Angle of Elevation
Angle of Elevation
Signup and view all the flashcards
Angle of Depression
Angle of Depression
Signup and view all the flashcards
Study Notes
- This document is a table of specifications for Grade 9 Mathematics, Fourth Quarter, S.Y. 2024-2025, for the Schools Division of Davao City, Catalunan Pequeño National High School.
Trigonometry Ratios
- Illustrates the six trigonometric ratios: sine, cosine, tangent, secant, cosecant, and cotangent. CODE: M9GE-IVa-1
Special Angles
- Finds the trigonometric ratios of special angles. CODE: M9GE-IVb-c-1
Angle of Elevation
- Illustrates angle of elevation and angles of depression. CODE: M9GE-IVd-1
Trigonometry Applications
- Uses trigonometric ratios to solve real - life problems involving right triangles. CODE: M9GE-IVe-1
Sine and Cosine Laws
- Illustrates laws of sines and cosines. CODE: M9GE-IVf-g-1
Oblique Triangles
- Solves problems involving oblique triangles. CODE: M9GE-IVh-j-1
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
