Solve the following problems (using solution by sine law/cosine law): 3. A soccer player takes a shot on a standard net that is 7.3 m wide. If the player is 10 m from one goalpost and 14 from the other, through what angle can a goal be made?

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: Find all angles, 0° < 0 < 360°, that solve the following equation. sin = –1

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Q: Which of the following is the correct solution to the given problem below? Haleakela is a 10,000…

A: Haleakela is a 10,000 foot high valcano.The peak is a horizontal distance of 30,000 feet from the…

Q: In AHIJ, the measure of J=90°, IH = 65, HJ = 56, and JI = 33. What is the %3D %3D value of the sine…

A: First sketch a triangle for the given measures as shown below.

Q: A student uses a protractor to measure an angle to be 0 = 85° ± 1°. What should she report for sin 0…

A: We know that, the uncertainty in sin(θ) can be found either from half the difference between the…

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

Q: In AKLM, the measure of ZM=90°, LK = 73, ML = 55, and KM = 48. What is the value of the sine of ZL…

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Q: Peter needs a ladder to get to his roof for a repair. In order for the ladder to be the most stable,…

A: By using trigonometric formulaes for right angled triangle we solve the given problem as follows :

Q: Solve for the exact value. cot 4

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Q: Solve the problem. 5) From a boat on the lake, the angle of elevation to the top of a cliff is…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A:

Q: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0&lt;θ&lt;π2

Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

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Q: For an acute angle 0 , the equation sin (0) = cos (6) is true. What is the value of 0 ?

A: If both the angles x and y are acute then    sin x=cos y⇒sin x =sin 90°-y⇒x=90°-y⇒x+y=90°For an…

Q: If cost = 4/5 and tis in the first quadrant, find sin(2t)

A: Use trigonometry relations.

Q: 2 is a triangle in which Tan A = 3 and Sin B = V5 ut using Calculator find Cos (A+B)

A:

Q: What is the value of cotθ if the terminal side of angle θ intersects the unit circle in the first…

A: We have to find the value of cotθ if the terminal side of angle θ intersects the unit circle in the…

Q: Use your knowledge of point coordinates to find the equation for the measures of the legs and…

A: Topic:- algebra

Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: In AVWX, the measure of X=90°, XW = 48, WV = 73, and VX = 55. What is the value of the sine of ZW to…

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Q: For an acute angle 0, the equation sin(8)=cos(6) is true. What is the value of 0?

A: solution  given below..

Q: Neil has missed several classes. Although he has learned to state the sine law, cosine law and the…

A: To find- Determining which tool to use for specific question.

Q: 5. For the right triangle below, what are (a) the length of the unknown side, (b) the tangent of 0…

A: Given,            The right triangle is shown below :

Q: Given that sin(0) 0, in which quadrant does e lie?

A: Given : sinθ&lt;0 and cotθ&gt;0

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 300…

A: Diameter = 300 mm  So radius=r= diameter/2= 300/2= 150 mm Given that arc length = s = 296 mm  In…

Q: A projectile is fired at a speed of 820 m/sec at an angle of 60°. How long will it take to get 23 km…

A: The projectile is fired at a speed of 820m/sec at an angleof 60°. So, the horizental component of…

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: 25x Using the compound angle formulae equals sin 12 a) sin 3 O b) sin 3 c) sin 3 4 O d) sin +-

A: Sin(25π/12) = Sin(2π + π/12) = Sin(π/12)

Q: You are standing 100 ft from an arch that is 68 ft tall. At what angle do you have to look up to see…

A: Topic = Trigonometric ratios

Q: How would I find an angle between 0 and 2pi that is coterminal with 11pi/4? I don’t know the best…

A:

Q: In AUVW, the measure of ZW=90°, UW = 60, VU = 61, and WV = 11. What is the value of the sine of ZU…

A: Trigonometric ratio , sin (angle ) = Opposite / hypotenuse .

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

A:

Q: Assuming all angles are acute, what is the solution for the following equation: sin A = cos 8A

A: The given equation is  sin A = cos 8A

Q: If y = cos*[sec?(30)], and (0 = =) y will be equal to? %3D

A:

Q: How does the value of sine and cosine relate to writing proofs about triangles?

A: Let, ABC be a right angle triangle as shown in the figure sine(θ) = a/h cosine(θ) = b/h

Q: Calculate Sin(15°) in two ways: a)Using half-angle formulae. b)Using angle difference formulae.

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Q: 14) 26 yd 35 50 R

A: Explained below

Q: =) Solve the problem. 9) Suppose the tip of the minute hand of a clock is 8 inches from the center…

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Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 300…

A: Given that the diameter= d= 300 millimeters So the radius=r= 3002=150 millimeters Given that the arc…

Q: In AJKL, the measure of ZL=90°, JL = 80, KJ = 89, and LK = 39. What is the value of %3D %3D the sine…

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Q: In right triangle ABC, m∠C = 90°, and sin A = 3535. What is the value of cos B?

A: The triangle ABC is a right angled triangle, therefore the relation between angle A and B can be…

Q: A В If AC = 8 cm and BC = 11 cm, what is the sine of ZB, rounded to the nearest thousandth? %3D

A:

Q: Which of the following is the correct solution to the given problem below? Haleakela is a 10,000…

A:

Q: Pablo is on vacation at a tropical bay that has three islands. He rents a boat on Island A and plans…

A: Distance between Island A and Island C is 14 miles Distance between Island A and Island B is 13…

Q: If y = cos*[sec? (30)], and (0 =5) y will be equal to? %D

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: π If y = cos*[sec? (30)], and (0 y will be equal to? = ;) 9.

A: The given function is y=cos4sec23θ and θ=π9. Evaluate y' as follows.…

Q: 9) For this problem, use the formula for a triangle's area. Area = ½ ab SinC %3D 7cm 40° бст

A: We use Trigonometry ratios

Q: Find the remaining trigonometric ratios of θ based on csc θ = 2 and cos θ is negative

A: