7. Two forest fire stations, P and Q are 20 km apart. A ranger at station Q sees a fire 15 km away. If the angle between the line PQ and the line from P to the fire is 25° how far, to the nearest tenth of a kilometer, is station P from the fire?

Q: 3 1. Write the following Trig Ratios: sinA 34 30 16 B cos (8) e 15 17 M 8 N tanA 12 cm -m 15 cm C

A: We have a right angle triangle   We have, sin C =side opposite to ∠CHypotenuse=ABACcos C =side…

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A: The given equation x2+6x+25=0. We have to find the roots of the quadratic equation.

Q: Find csc-1(2.9) (in radians).  (Hint: Use sin-1)

A:

Q: sin2 x + sin x = 0 Q Zoom Find all real numbers in the interval [0, 2n) that satisfy the equation.

A:

Q: Find the solution of the equation 1.71 + 5.88(sin x) = 3.48 that is negative and nearest to 0.…

A:

Q: A triangle has sides a = 3.4, b = 3.1, and included angle ∢C = 165° (opposite side c).  Find the…

A:

Q: Below are the first several terms of three different sequences. For each one identify if the…

A: (a).The given sequence is:1, 2, 3, 5, 8, ....

Q: Determine the measure of the indicated angle in the following triangle 2 70 10² = 60² + 80²2 (60)…

A:

Q: DETAILS LARTRIG11 1.3.005. Find the exact values of the six trigonometric functions of the angle…

A: To determine the all the six trigonometric ratios.

Q: Find the exact value of the expression_ cos 40° cos 20° - sin 40° sin 20°

A: Find the exact value of the expression. cos(40) cos(20)-sin(40)sin(20)

Q: Vectors u and v have magnitudes |u| = 5.4 and |v| = 4.6. Find the magnitude of the sum u + v, if the…

A: Vectors u and v have mgnitude |u|=5.4 and |v|=4.6 and the angle between           u and v…

Q: * ste 48 N 60 70 3

A:

Q: Which of the following vectors has a magnitude of √40 and a direction of 0 = 251.565°?

A: NOTE: Refresh your page if you can't see any equations. . the first vector is  find the magnitude

Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 3.6sin(3.5t)…

A:

Q: Find the value of the missing angle (in degrees).  Provide a single number as your answer.…

A: I have used the following trigonometric formula and solve the problem.   cos(x - y)=cos(x)cos(y) +…

Q: Find csc-1(4.3) (in radians).  (Hint: Use sin-1)

A:

Q: 3. Solve for the indicated missing angle: 20 Z 13 85 68

A:

Q: What is the vector shown in component form?

A:

Q: Assume v₁ = [3,-2] and v₂ = [-1,4]. Find the sum and difference of vectors v₁ and v₂. V₁ + V₂ = [ ]…

A:

Q: 3. Name a trigonometric ratio using sin that is equivalent to cos 30°.

A: Since you have posted multiple question i can do first question as per our company guidelines.…

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

A: We have to find the angle and measure of side. Foe this we will use sine law and then put values to…

Q: A ship that is docked in a harbour rises and falls with the waves. The function (t) = = T sin ( -t…

A: rate of change at time t is derivative at time t.

Q: 10. Sketch the hyperbol the asymptotes of t

A: The equation is: 4x2-3y2+8x+16=0

Q: Find values for b such that the triangle has one solution, two solutions (if possible), an A 125°, a…

A:

Q: Determine the length of side QR in the following triangle 13 cm 70 4 cm R Square QR²= 13²+ 4²-2…

A: NOTE: Refresh your page if you can't see any equations. . here we have PQ=13 cm PR=4 cm P=70

Q: 14. A boat leaves a harbor and sails 30 miles on a heading 40°, measured east of north, then sails…

A: A boat leaves a harbor and sails 30 miles on a heading 40°, measured east of north, then sails 20…

Q: A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she…

A: Given, From the Chupacabra Trailhead she hikes for 7 miles along a bearing of N61°W which brings her…

Q: For a triangle ABC, we have a = 5, b = 4, c = 2.  When solving the triangle, we should: First, by…

A:

Q: By graphing y and y = sin 3x 2 how many solutions does the equation 1 sin 3x over the domain [0, 2π)…

A:

Q: Simplify. 2 [(2₁)4] ² 16;5 Enter your answer in the box.

A:

Q: Solve the following equations over the given interval. Show all work used to find your answers (Ex:…

A:

Q: Given the triangle 26/ X = 43° 14° answer to 4 decimal places. X find the length of side x using the…

A:

Q: b= (-2, 10) and c = (-7, -3) What is c + b in component form? Enter your answer by filling in the…

A: b→=<-2,10> and c→=<-7,-3>

Q: Graph the following function. T y = cos *** Use the graphing tool to graph the function. + Click to…

A: To find out the amplitude, period, phase shift and vertical shift of the given function.

Q: Find the endpoints of the latus rectum of the parabola below. Select the correct answer below: (x -…

A:

Q: Consider the following triangle. B = 129°, C = 26°, a = 16.8 Determine whether the Law of Sines or…

A: Use the rules of sine in triangle

Q: Determine the diameter of a circle in which a 72.30° central angle cuts off an arc length of 18.8…

A:

Q: 7. Write z = 6 - 6i in trigonometric form.

A: We need to write z=6-6i in trigonometric form.

Q: 2₁ 2, y = 2 + cos x

A: We need to draw the graph of y= 2 + cos x .

Q: Given the ArcTangent curve as follows. Match each point with its expression. 2. (-4,-1) 3. (1,4) 5.…

A: The graph of Arc tangent function is given.

Q: 3. Determine the value of x and the measure of angle 8. X 13 cm 12 cm

A: Trigonometric Ratios: sinθ=PerpendicularHypotenusecosθ=BaseHypotenusetanθ=PerpendicularBase…

Q: Find the argument (angle θ) in radians for the given complex number z = 4.1 + (7)i.

A: This is question of complex number here number is given we have to find angle   further calculation…

Q: Linda is flying two kites. She has 104 feet of string out to one kite and 110 feet out to the other…

A: She has 104 feet of string out to one kite and 110 feet out to the other kiteand angle formed by the…

Q: If sec α = a. sin 13 5 α 2 0<a< T then find the exact value of each of the following. 2' b. cos α 2…

A: sec α =135 ; 0&lt;α&lt;π2

Q: 3. Find the exact value of each quantity: a) sin² 50° + cos² 50° c) sin 75° b) cos² 135° d) tan4…

A: To find the exact value of each quantity. (a) sin250°+cos250° (b) cos2135° (c) sin75° Note: Since…

Q: What is the position vector of the vector shown below? 45-4-3-2

A: Graph

Q: Consider a triangle ABC like the one below. Suppose that B= 129°, a=33, and c= 72. (The figure is…

A: B =129° a=33 ,c=72

Q: Over the domain of [0, π] function how many solutions does the equation sin x 0 Infinite Solutions 2…

A: sin x =1/2 ,[0,π]

Q: Suppose u = ‹1.5,0› and v = ‹-2.9,2.8›. Find the angle between the two (position) vectors u and v.…

A:

Q: what angle has a tanget and sine that are both negative? a. 65deg b. 120deg 3.265deg 4.310deg

A: To choose the angle that has a tangent and sine are both negative among given options.