In AJKL, j = 1.4 inches, l = 8.1 inches and ZL=73°. Find all possible values of ZJ, to the nearest 10th of a degree.

Q: Circles B and E have radii of 10 cm & 7 cm respectively, and CD is 3 cm. Use this information to…

A: We have to find the value of DE in the given question.

Q: In AJKL, the measure of ZL=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ZK to…

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Q: In AIJK, the measure of ZK=9o°, IK = 9, JI = 41, and KJ 40. What ratio represents the sine of ZI?

A: Given that ∠K=90°,  IK=9,  JI=41  and KJ=40. Construct a right triangle (IJK)  and name it, with the…

Q: Find the angle 0 between v= 8i- 6j and w=-12i- 5j. If necessary, round to the nearest tenth of a…

A: Given  v=8i-6j w=-12i-5j

Q: Solve the following triangle and find its area

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Q: Last 2 questions   Determine the value of the following line segment lengths and angle measures.…

A: Solution

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

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Q: Find the angle 0 between v = cos 120°i+ sin 120°j and w= cos 135°i+ sin 135°j. If necessary, round…

A: Given, v=cos120∘i+sin 120∘jw=cos135∘i+sin135∘j We know that, cos…

Q: 10 6.

A: The trigonometric functions are defined by using the sides of a right-angled triangle. The sides of…

Q: In AHIJ, j = 1.9 inches, h = 3.4 inches and ZI=161°. Find ZJ, to the nearest 10th of an degree. %3D…

A: This is a question related to properties of triangles and can be solved by applying cosine and sine…

Q: K H A

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Q: In AGHI, g = 9.8 cm, h = 1.6 degree. cm and i=9.2 cm. Find the measure of ZI to the nearest

A: Given, Triangle GHI. g=9.8cm h=1.6cm i=9.2cm Let the angle i be I.

Q: Use a calculator to find the value of the acute angle θ to the nearest degree, sin u = 0.2974

A: According to the question, we have to find the value of sin u=0.2974 to the nearest degree using…

Q: What is the angle in radians that a phasor makes with the +x axis, that is {-0.44 + -7.79*j}^-1…

A: Here we have to find the angle in radians that a phasor makes with the +x axis , that is…

Q: Given C 130°, B= 29°, and c = 15, use the Law of Sines to solve the triangle for the value of a.…

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Q: Find the angle between  6j + 16k  and  −4i − j  (to the nearest degree).

A: Let two vectors are u=6j+16k and v= -4i-jTo find angle between two vector use formula, |u| is the…

Q: If cos7A = sin(A-60) where 7A is an acute angle , Find the value of A

A: Solution Given cos 7A = sin ( A - 6⁰ ) sin ( 90⁰ - 7A )= sin ( A - 6⁰ ) Since ( 90⁰ - 7A ) and  ( A…

Q: In AOPQ, the measure of ZQ=90°, PQ = 1.6 feet, and QO = 8.5 feet. Find the measure of 0 to the…

A: To find: The measure of ∠O. Formula used: Trigonometric ratio: tan θ=pb Here, p is perpendicular…

Q: In AHIJ, the measure of ZJ=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ZI…

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Q: 2. Determine the value of & to the nearest degree if cot 0= 2. 51° b. 45° с. 27° d. 63° а.

A: cot θ=2⇒1cot θ=12⇒tan θ=12⇒θ=tan-112=26.57∘ ≈27°

Q: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: Given AKIP, find m/I. Round your answer to the nearest hundredth of a degree. 10 K

A: Solution: The objective is to find the required angle

Q: Use the sine law to determine the length of side a, to the nearest tenth of a cm, given that b =…

A: follow next step

Q: Find all angles, 0° <0 < 360°, that solve the following equation. tan 0 = 1 Answer: Submit Answer

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Q: Given that csc(θ)=135 and θ is in Quadrant I, what is cot(θ)? Write your answer in exact form. Do…

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Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: Find the angle between u=2i+j and v=-4i+10j in degrees as a decimal rounded to the nearest hundredth

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Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

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Q: Find the angle 0 between v= cos 120°i+ sin 120°j and w = cos 135°i+ sin 135°j. If necessary, round…

A: Using trigonometric  formulas

Q: Given this triangle, what is the value of sec B?

A: Given Triangle is sec B =?

Q: Given that csc(θ)=13/5 and θ is in Quadrant I, what is cot(θ)? Write your answer in exact form. Do…

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Q: Given the triangle below, find tan(0).

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Q: A ladder 5 m long leans against a building. If the angle between the ground and the ladder is 57…

A: Given: according to given data figure will be Where; AC is length of ladder, BC is distance between…

Q: Given the triangle below, find the exact value for sec(@). 13 12

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Q: Find the angle 0 between v = cos 60°i+ sin 60°j and w = cos 135°i+ sin 135°j. If necessary, round to…

A: Find the angle between two vectors

Q: Find the missing measure  S=7 in, theta=3 radians, r =?

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Q: Evaluate the following and indicate the reference angle.   1. Tan 330 degrees

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Q: If cos 0 V2 and the reference angle of 0 2 is 45°, find both angles in degrees from 0° < 0 < 360°…

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Q: In AEFG, the measure of ZG=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ZF?

A: Given: To Find:

Q: se the Law of Sines to verify that there is no such triangle that satisfies the given conditions: =…

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Q: Name the quadrant in which the angle below is located. tane 4 and sing is positive. II OIV

A: Given tan θ = -45 and sin θ is positive.

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 87.4 ft,…

A: Find angle c

Q: Solve the triangle. BA As° (Round to one decimal place as needed.) B ° (Round to one decimal place…

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Q: By applying the steps above, find an angle o, with 0° < o < 360° that has the same a) cosine as 53°…

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Q: What is the approximate radian measure of an angle with a degree measure of 59.6º?

A: To convert degree in to radian, multiply by π/180°. Simplify it

Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary. 333° The bearing…

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Q: Use a calculator to find the value of the acute angle θ to the nearest degree, cos u = 0.8771

A: Consider the provided information, cosθ=0.8771 Use a calculator to find the value of the acute angle…

Q: Given  tan ? = 0.2399,  find ?. roudn to the nearest tenth of a degree

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Q: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

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.