Use the law of sines to solve the given problem. A small island is approximately a triangle in shape. If the longest side of the island is 520 m, and two of the angles are 45° and 60°, what is the length of the shortest side? The length of the shortest side is meters. (Round to the nearest integer as needed.)

Q: In triangle ABC, A = 30 degree, b =20 ft, and a =2 ft. Show that it is impossible to solvethis…

A: The law of sines: asin A = bsin B = csin C

Q: If B = 108 degree, C = 37 degree, and c =2.9 inches, use the law of sines to find b.

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Q: In triangle PQR, p which of the following is the correct use of Law of Sines to solve for p

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Q: Given that a triangle has a hypotenuse of 17, adjacent of 8, and opposite of 15, what is the…

A: Given,  A triangle has a hypotenuse of 17, adjacent of 8, and opposite of 15.  We have to find the…

Q: Give the answer to the trig function and the quadrant where the angle terminates. 47t sin 3 %3D

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Q: Use the law of sines to solve a triangle ssa

A: Using law of sines asinA=bsinB=csinC Where Side a faces angle A Side b faces angle B and side c…

Q: To apply the law of sines, an angle must be given and a side (opposite/adjacent) the given angle…

A: In a triangle, to apply the Law of Sines, we must have an angle along with the side opposite to the…

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30,…

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

Q: If the sine of an angle is .75, what is the measure of the angle to the nearest degree?

A: sinƟ = 0.75Ɵ = sin-1(0.75) = 48.6° = 49°tan-1(0.05) = 2.86° = 3°

Q: If sin 12 1 A – VB, then, by using a half-angle formula, find 2 A В -

A: We know that the half range formula is sinθ2=1-cosθ2. Here, θ=π6.

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: 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: If A = 32 degree, B = 70 degree , and a = 3.8 inches, use the law of sines to find b.

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Q: Given that sin(θ)=3√10/10, and θ is in Quadrant II, what is sin(2θ)?

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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: In the right triangle ABC, the length of side a = 5 and the length of side b = 3. Find: sin b, tan a…

A: Given,           In the right triangle ABC, the length of side a=5 and the length of side b=3.

Q: Please solve by showing step by step: Using the Law of Sines to solve triangle if A=40 degrees,…

A: Given that, ABC is a triangle in which, A = 40 degree, C = 65 degree B = ? a, b, c are the…

Q: In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).

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Q: Consider a right triangle with side a opposite angle A, side b opposite angle B, and side c, the and…

A: Explanation of the answer is as follows

Q: Use the law of sines to show that no triangle exists for which A = 60 degree, a = 12 inches,and b =…

A: Given: A=60° , a=12 and b=42

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Given: The sides a, b and angle A of a triangle are given as, a=108b=84∠A=139° The objective is to…

Q: A 16 10 8 В 8V3 6.

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Q: given that sinx=square root of 6/3 and siny=square root of 8/3, and that angles x and y are both in…

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Q: In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what…

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Q: On the basis of the drawing provided, complete the Law of Sines. sin a a A C b

A: we have the given figure as the incomplete statement is sinαa=

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

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Q: Given that sine = 4/5 and e lies in quadrant II, find the following value. %3D csce 5/4 4/5 5/3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the angle is in the…

Q: Are the following statements true or false? Please explain. (a) The Law of Cosines cannot be used in…

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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: the question listed that sine of theta is equal to 5/9, and it it wanted to know, between 0 degrees…

A: Given that sin theta = 5/9.

Q: Use the Law of Sines or the Law of Cosines to find length x to the nearest whole number. 60 12

A: consider the triangle, we have a2=b2+c2-2bccosA

Q: Question 11, solve the triangle. nearest tenth

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Q: A radio tower 500 feet tall, and the ground on one side of the tower has an inclination to the…

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Q: Use your calculator to find sin ? and cos ? if the point (9.38, 7.09) is on the terminal side of ?.…

A: Given : Let A(9.38,7.09), The attached figure to better understand the problem, Find the value of r…

Q: in a right triangle cos(b)=1/2, what is the value of sin(a)

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Q: Use the law of sines to show that exactly one triangle exists for which A = 42 degree,a = 29 inches,…

A: Given: A=42 degree a=29 in b=21 in Formula used: sin Aa=sin Bb

Q: Solve the following problems (using solution by sine law/cosine law): 3. A soccer player takes a…

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Q: Using the Law of Sines, Marina gets m<B = 41 (to the nearest whole) degrees. Is there another…

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

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Q: Using the Law of Sines, Marina gets m<B = 41 (to the nearest whole) degrees. Is there another…

A: The objective is to find the angle of B

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

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Q: With respect to the given angle of a right triangle, what is the ratio of the opposite side to the…

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Q: In AABC, LA = 40°, b = 6.8 cm, and c = 3.6 cm. (Round each answer to one decimal place.) (a) Find a…

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Q: If the terminal side of angle t goes through the point (-. on the unit circle, then what is sin(t)?…

A: We will solve the problem

Q: If the terminal side of angle 0 goes through the point (, v) V5 2V5 5 on the unit circle, then what…

A: The terminal side of an anglegoes through the pointon the unit circle. If (x, y) is a point on the…

Q: Given that sine = 3/5 ande lies in quadrant II, find the following value. cote 3/4 4/5 -4/3

A: Given: sinθ=35 and θ lies in quadrant II.

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

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Q: Given that sine = 4/5 and e lies in quadrant II, find the following value. %3D cote -3/4 -4/5 -4/3

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Q: Given that cos ( θ ) = 3 square root 10 / 10, and θ is in quadrant IV, what is sin ( θ ) ?

A: Given :        cos(θ) = 31010 and θ is in quadrant IV   To find :     sinθ