A triangular plot of land has one side along a straight road that is 200 feet long. A second side makes a 50° angle with the road, and the third side makes a 43° angle with the road. How long are the other two sides? See the image below, as a guide. Hint: this is not a right triangle, so you will have to use the Law of Sines.

Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

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: A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles…

A: Let us suppose the distance of the boat towards south is y. Let the angle of the boat from the…

Q: The terminal arm of an angle, 0, in standard position passes through A(7, 2). Which of the primary…

A:

Q: The sides of a parallelogram are 16 m and 10 m, and the longer diagonal makes an angle of 18° with…

A: Let x be the length of the longer diagonal use law of sines to find the value of x from the lower…

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: 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: On the basis of the drawing provided, complete this form of the Law of Cosines. a

A: we need a triangle to describe the law of cosine. In this case we discuss about it.

Q: In ΔABC, the measure of ∠C=90°, AC = 36, BA = 85, and CB = 77. What ratio represents the sine of ∠B?

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Q: 1. Sketch the triangle and solve using the Law of Sines: LA = 30°, LC = 65°,b = 10

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: In the diagram of the right triangle ADE below, BE || DE. Which ratio is always equivalent to the…

A: Solution

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

A:

Q: Use the law of sines to find the measure of the indicated angle

A:

Q: In AUVW, the measure of^ZW=90°, WV = 65, VU = 97, and UW = 72. What ratio %3D represents the sine of…

A: topic - trigonometric ratios sine of V =UW/VU=72/97

Q: Use words to describe the formula for, "the sine of double an angle."

A:

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

A:

Q: On a baseball diamond (a square), the bases are 90 ft apart. Use the Law of Sines to find the…

A: we have the given information as   in a baseball field bases are 90 feet apart   we have to find…

Q: 3. В 30 20 C А А 17

A:

Q: In triangle ABC, A = 40 degree , b = 19 ft, and a =18 ft. Use the law of sines to find sin Band then…

A: Given in ∆ABC,  ∠A = 40° , a = 18ft b = 19ft, ∠B = ?

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: What is the sine of the 45° angle A?

A: the opposite side of the angle A is BC  and  the hypotenuse is AB

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

A: Given

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: Find the exact values of the sine, cosine, and tangent of the angle 345°

A:

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: For a right triangle, the sine, cosine, and tangent of the angle @ is defined as:

A: Given data: The given right angle triangle. The expression for the sinθ is, sinθ=OppositeHypotenuse…

Q: In ACDE, the measure of ZE=90°, DC = 89, CE = 39, and ED = 80. What is the value of the sine of ZD…

A:

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

A:

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

A:

Q: In a right triangle, the tangent of angle A is and the cosine of angle A is Based on these values,…

A: Given as  tan A=912 And  cos A=1215

Q: 6. Determine the measure of an angle in Quadrant 4 which would have the same sine value as 185°

A: The trigonometric function, sin(1850)=sin(1800+50)=-sin(50)                             As…

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

A:

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A: We have to find the length of the third side of the triangle.  We have that the length of the two…

Q: In triangle ABC with sides a, b, and c the Law of Sines states that

A: To state the law of sines.

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: For AABC (not shown), suppose you know that a = 3, a = 57°, and ß = 84°. a) Explain why you do not…

A: Given: For ∆ABC , a = 3, α = 57°, β = 84° To explain: Why we do not need to apply the Law of sines…

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

A:

Q: The figure below shows the right triangle XYZ. Which of these ratios can be used to find the cosine…

A: cosine angle can be found as below :

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

A:

Q: In ΔABC, the measure of ∠C=90°, AC = 56, BA = 65, and CB = 33. What ratio represents the sine of ∠A?

A:

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

A:

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: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

Q: Consider the right triangle below. 56 C 33 B What is the ratio of cos (B)?

A: Given, Cos B=?

Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.