A Find the measures of ZR, ZQTS, and LQST in this diagram. Justify your answers. S. 105° 30° 70° T. R ZR = ZQTS =, ZQST =

Q: Find the measure of the smaller angle formed by the hands of a clock at 4:00P.M. (A) 110° (B) 120°…

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Q: For t's 34-35: 35. If the measure of arc AB equals 37°, what is the measurement of angle AOD? А. 37°…

A: A circle is a collection of ordered pair of points (x,y) in the cartesian coordinate system such…

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given : A person is 100 meters from the base of a tree observes that the angle between the ground…

Q: Find the reference angle e'. e = 160° e' = Sketch e in standard position and label 0'. y y y y

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Q: The diagram shows triangle QRS with side SR on ray ST. (5y) yo 114° S Part A What is the measure of…

A: Given: The diagram showing triangle QRS with side SR on ray ST. To determine: a) What is the measure…

Q: From the top of a lighthouse, the angle of depression of a boat at sea level is 6°40'. How far is…

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Q: Answer the following questions about the figure below: (a) What is the measure of arc BE? (b) What…

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Q: 30. Using the triangle to the right, find tan of V A. 5/2 B. 2/5 C. 3√29 D. 29 2 t 6 15 A

A: Given: ∠T  =90° , TV = 6, TU= 15 To find: tanV

Q: Given m BE = 90° B and m ZBFE = 86°, determine the measure of the 90 A C arc m DC. F 86° (You may…

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Q: Given that the two triangles are similar, fınd A and B. B 16 A 5 14 Round the answers to two decimal…

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Q: 5T "hat is the reference angle o for the angle 0 4

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Q: To measure the height of the cloud cover at an airport, a worker directs a reflector upwards at an…

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Q: Paso Robles 56.19 Cambria 14.1 Templeton 37.8° 4.61 mi 79.2 Atascadero 106,1° Bujure

A: Given problem:-

Q: Find the acute angle measure, to the nearest degree. P. 19 R Q

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Q: To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is…

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Q: Find the reference angle. TC 3 h O 17 36 O None of the other answers are correct 4 13T 36 3.

A: We can use the concept of angle in order to solve the given problem.

Q: 3 3 A

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Q: 14n Question: On the unit circle in the coordinate plane in the picture below, which point best…

A: 14π/3 -4π = 2π/3 an angle of 2π/3 has the same terminal side as that of a 14π/3 angle.  Therefore…

Q: Q1. Calculate angle BAC. NOT TO 3.5 SCALE B 0.9 A.

A: Using rules of trigonometry for triangle:  cos∠BAC=0.93.5∠BAC=cos-10.93.5 ∠BAC=cos-10.93.5…

Q: Determine the missing angle measurement(s) for each figure (e) 55° 80° q = S = r =

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Q: b. TT Calculate the angle between A and x-axis at P(3, 3'21

A: Consider the equation

Q: What is the angle of depression from the top of a 500-foot cable that runs from a tower to a point…

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Q: In what quadrant is P(e) located if e=33tt/4 ? * 1 point II II O Iv Evaluate: csc (3Tt/2) * 1 point…

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Q: Use the figure below to answer the questions. 100 30 50° B R A Arc DB is a v and its arc measure is…

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Q: 10. In the following diagram (which is not drawn to scale), find the angle 0 to the nearest tenth of…

A: 6 is opposite side of theta and 8 is hypotenuse  So we will use sin theta. Because only sin relates…

Q: onvert he following angle to decimal degre degme 42' aこ Round to four decimd ploces

A: Consider the angle:

Q: Find the reference angle for the given angle. (a) 10 (b) 8. 107 (c) 3

A: If the angle is in the first quadrant then its reference angle is the same as the angle itself. If…

Q: 3 Find the value of the exterior angle y in the following figure. 60 55 D. degrees. y =

A: We know the sum of interior angles of a polygon with n sides is, sum of angles = (n-2)×180°for a…

Q: What is the measure of the red arc or red angle? U 38° T V

A: We have a theorem which states that the measure of an inscribed angle is half of the measure of the…

Q: What is the reference angle ô of P(0) in the 3rd quadrant? O T -

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Q: F. Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the…

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Q: Determine the unknown angle a (in degrees) for the triangle below [round your final answer to one…

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Q: Find the mQS. R The measure of arc QS is degrees. 250

A: We have to find measure of Arc QS in degree.

Q: You are looking up at a 5 ft. tall flag pole at an angle of 36°. Using the sketch below (not drawn…

A: Given that right angle triangles and we know that trigonometry ratio is  tan(angle) =…

Q: 2. Given 0 what is its reference angle 0? %3| (a) Ô = 5 (b) êô (c) Ô = 87 (d) : (e) ô = = (f) Ô = II

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Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle ?…

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Q: 3. (MGSE 9- 12.G.C. 2) Find the measurement of the angle QGE indicated below. 115 ° 51° F E A) 46°…

A: The solution is :

Q: Your math class is going to test new digital clinometers by meesuring the angle of elevation of a…

A: the given figure is: the kite is flying to an angle of 51.5 degree on 360 feet of string. we have…

Q: Find the reference angle for the given angle. (a) 6 11T (b) 9. 247 (c) 7

A: In this question, we need to find the reference angle from the given angle. We can find the…

Q: Find the reference angle for the given angle. 5.5 O A. - 2.36 O B. 2.36 O C. 0.78 O D. - 0.78

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Q: Find the unknown angle measures in each of the figures. 2. 1. 26° D 70° P. R 3. А- キ C 4. D 110° 42°…

A: Angles opposite to equal sides are equal .

Q: Find the reference angle for each value of 0. (a) If 0 : 177 the reference angle is 4 197 (b) If 0…

A: We can solve only the first question as per the instruction. The most commonly used angles and their…

Q: find the reference angle θR  if θ has the given measure (a)142° (b) 5π/3 (c) -80° (d) 2π/3

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Q: Use the figure below to answer the questions. 100 30 50° E degrees. Arc DCB is a and its arc measure…

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Q: Find the value of the exterior angle y in the following figure. A 60° 55° C D degrees. y =

A: The sum of the angles of triangle ABC is 180°. So, ∠A+∠B+∠C=180°⇒60°+55°+∠C=180°⇒∠C=180°-115°⇒∠C=65°

Q: E F The angle of depression from D to F measures 40°. If EF = 14 yd, find DE. Round your answer to…

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Q: (b) 2.4 (с) —10п

A: I am attaching image so that you understand each and every step.

Q: 3. In which quadrant would the terminal ray lie if e = 135°? * %3D O II O IV

A: The ray in the terminal position, after the rotation, is called the terminal side of the angle

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.