From the top of a 169-ft lighthouse, the angle of depression to a ship in the ocean is 19°. How far is the ship from the base of the lighthouse? distance = Report answer accurate to decimal places. feet

Q: Find the exact solution of the equation. 20 sin -1, X = 5T www The solution set is (Simplify your…

A: Given, 20sin-1x= 5π Simplifying the above equation, Dividing both sides by 20 we have, sin-1x= π/4

Q: 2.1 2: If Sin20= 3 90° ≤20≤360°. Determine the value of sin without using a calculator. 5' Consider:…

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Q: You want to put a 2 inch thick layer of topsoil for a new 31 ft by 21 ft garden. The dirt store…

A: We need to calculate how many yards will we need to order

Q: If cos a = 0.366 and cos 3 = 0.593 (both angles are acute), Your answers should be accurate to 3…

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Q: Find the exact value if possible. Otherwise find an approximation to 4 decimal places or state that…

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Q: Match the point in polar coordinates OA 01 (4, 0) 6 3π 4 ○ B 4, c(4, - T 6 T D -4, 4 X -4, 5 (F) 6…

A: Here we will find the correct option for given point,

Q: B. Sketch the problems presented then solve. Use the problem solving template. (Show your solutions)…

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Q: 19. Simplify the expression cota cos² cot²a-cos² O -1 O-2 02 01

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Q: Let a, b and c be lengths of the sides of a triangle. Show that (a + b-c) (a-b + c) (- a + b + c) ≤…

A: Given: Three sides of a triangle are a, b ,c. To prove a+b-ca-b+c-a+b+c≤abc Assume: Let the three…

Q: Compute the area of the sector of a circle of radius 7 where the central angle of the sector is ().…

A: Given: Radius =3 Central angle =12π

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) -4 -2 1…

A: Find out the matrix multiplication.

Q: Find the points (x, y) in the unit circle satisfying the given condition 2 b. y = - =-²/ C. x = 4y 3…

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Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to…

Q: height

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Q: Consider following  t= 7 pi/3 Find reference value of t. Find terminal point (x,y)  determined by…

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Q: A variation of the subtense bar method that surveyors use to determine larger distances d between…

A: Let d is distance between P and Q, and AB is bisects the line PQ. From the above above figure,…

Q: Write JICA if the statement is true and TAWI-TAWI if the statement is false. 1. An oblique triangle…

A: You must have an idea about the basics of trigonometry in order to understand this sets of problems…

Q: Find the exact value of the expression. Rationalize the denominator if necessary. 2 tan 112.5° 0 0/6…

A: We have to solve given Questions.

Q: or x. Round to the nearest tenth, if necessary. B 7.9 54° C X A

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Q: If f(x)=2x-3 and g(x) = -2x²-3x+1, find (a) (fg)(x) and (b) (fg)(2). (a) (fg)(x) =

A: We have to find value of (fg)(x) and (fg)(2).

Q: What are the domain and range of the relation? Is the relation a function? D={(0,0), (7,10), (1,16),…

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Q: 4. Write a SINE and COSINE Equation for the graph below. 5 -2m 2m 3m mm

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

Q: Find the length s and area A. The length of the arc is yards. (Round to three decimal places as…

A: Here, r=11 yd & θ=20°=20×π180=π9

Q: 2. The coordinates of a point on the terminal arm of an angle are shown. Determine the exact six…

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Q: Assume cos(t) = -35 75 where < t < T. Compute the following: 2 cos(-t) = sin(t) = sin(-t) = sin(-t)…

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Q: P< 32° R 17° 61°

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Q: The Pennsylvania State University had enrollments of 40,571 students in 2000 and 41,289 students in…

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Q: simply, Your answer cannot be understood or graded. More Information X 3 sec³(x) - 3 sec²(x) - 3…

A: Given

Q: Suppose that sina = sin Find the exact values of sin tan a 2 2 0 مهارت - 0 π and <a < π. 2 8|2 and…

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Q: Verify the identity. (Simplify at each step.) cos³ x sin4 x = (sin4 x — sin6 x)cos x cos³ x sin4 x =…

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Q: How did you get 52.5 from 9.25/7?

A: see below the explanation

Q: 4. Given 0 ≤ 0 < 2m, solve -2 sin² 0 + cos 0 − 1 = 0. ○ 0,27 0 0, 으뜸 ⊙ 픔 ㅇ ㅠ

A: Given problem:- 4. Given 0 &lt; θ &lt; 2π solve -2 sin2θ + cosθ -1 = 0.

Q: 2π Given the point in polar coordinates 6, Part 1 of 2 (a) Two other polar coordinate…

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Q: Suppose cos( a) = 2/7 where a is in Quadrant II and sin (b) = -4/8 where b is in Quadrant III. Find…

A: To find out the value of sin(a-b).

Q: Write a quadratic equation having the given solutions. 15, 10 Write the quadratic equation in…

A: We have to find quadratic equation with given roots of equation.

Q: Find the area of a triangle with the given measurements. Round to 1 decimal place. A= 140°, b= 21 m,…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7. (C): Solve the following…

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Q: Sketch the problems presented then solve. Use the problem solving template. (Show your solutions) 1.…

A: Use trigonometric ratio to find the angle of depression

Q: Divide the interval of y=-1+1/2cot(2x-3pi) into 4 equal parts for both periods and calculate the…

A: Divide the interval of y=-1+1/2cot(2x-3pi) into 4 equal parts for both periods and calculate the…

Q: If cot 0= 14, cos 0<0, find the exact value of each of the following. Ꮎ (a) sin (20) (b) cos (20)…

A: Given that cotθ=14,   cosθ&lt;0Solution :cotθ=14,   cosθ&lt;0θ is 3rd…

Q: The corresponding medians of two similar triangles are 2 cm and 5 cm. What is the ratio of their…

A: Given that the corresponding medians of two similar triangles are 2 cm and 5 cm. To find the ratio…

Q: 6. Find the exact value of the following sec tan E 6

A: We know the equation Sec (180 + x) = - Sec(x)

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

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Q: If sin a 0.564 and sin ß = 0.849 (both = angles are acute), Your answers should be accurate to 3…

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Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

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Q: Simplify the expression. sin(2 arccos(x))

A: We can simplify the expression as below.

Q: Assume cos(t) = 4 where sin(-t) = csc(t + 2) = - cot(t)= 3π < t < 2π. Compute the following: 2

A: Given, cos(t) = 4175Since,  3π2&lt; t &lt; 2π    , Therefore,  sin(t) &lt; 0 and  tan(t)&lt;0Now,…

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

A: Use sine curve concept

Q: Use the given information to find (a) sin (s+t). (b) tan (s+t), and (c) the quadrant of s + t. 5 13…

A: Here, given values are: cos s=-35 &amp; sin t=513

Q: Use reference angles to evaluate the following expressions. For the angle 2, the reference angle is…

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