Math 9: Trigonometric Ratios & Theorem

How are angles with reference angles of 30°, 45°, or 60° commonly classified?

Regarding a specific angle in a right triangle, which trigonometric ratio represents the relationship between the hypotenuse and the opposite side?

In right triangle ABC, BC = 8cm and AC = 17cm. What is the value of $sin C$?

Which of the following statements is NOT a characteristic or property of right triangles or the Pythagorean Theorem?

If $sin(60°) = \frac{y}{4}$, what is the approximate value of y?

In triangle ABC, if side AB = 9 cm and side BC = 11 cm, what is the tangent of angle A, rounded to the nearest hundredth?

Which formula correctly expresses the tangent of angle B in a right triangle?

According to the 30°-60°-90° Right Triangle Theorem, how does the length of the hypotenuse relate to the length of the shorter leg?

Which statement is incorrect regarding the relationships between sides and angles in special right triangles?

In a 45°-45°-90° right triangle, what is the relationship between the two legs?

What is the value of the expression $sin(30°) - cos(60°)$?

When an observer looks upwards at an object, what term describes the angle formed between the horizontal line and the observer's line of sight?

In a right triangle PQR, PQ = 12 cm and QR = 5 cm. What is $cos R$?

What is the value of t, given the triangle where one angle is 45 degrees, the hypotenuse is 8, and t is the adjacent side?

What is the value of the expression 2(sin 30°) – tan 45°?

A hiker is 400 meters away from the base of a radio tower. The angle of elevation to the top of the tower is 46°. Which equation can be used to find the height of the tower?

A kite held by 125 m of string makes an angle of elevation with the ground of 45º. What's the kite's approximate height above the ground?

If a boy observes his dog on the ground from the second floor of his house at an angle of depression of 32°, and the dog is 7 meters away from the house, approximately how high is the boy above the ground?

If a boy is 3 meters above the ground and observes his dog lying on the ground with an angle of depression of 32°, approximately how far is the dog from the house?