. A tree and a pole are on same horizontal ground. The angle of elevation of the top of the tree from the top of the pole is 15°. If the tree is 50 feet tall and the pole is 40 feet tall, what is the distance between the tree and the pole?

Q: The vertices of a triangle are defined by the given points. A(-8, 3), B (4, –2), C(-9, –7) Part 1 of…

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Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

A: We have to find length of wire.

Q: complete equation so the result is an identity ___ -1 = tan^2 x

A: Given query is to complete the identity.

Q: Solve the equation for x in the interval [0,2r). Use exact solutions where possible and give…

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Q: Rewrite 10 sin(5x) cos(3x) as a sum or difference, then simplify.

A: Here we have to rewrite 10sin(5x)cos(3x) as a sum or difference.

Q: How many triangles are possible given these measures for a possible triangle(s)? A =30, a =4, and b…

A: Topic:- geometry and trigonometry

Q: If we know the values of sin(x) and cos(x), we can find the value of sin(2x) by using the…

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Q: 168 (Show your solution) 1./ Solve the value of (2xt 12)° (ex - 14)°

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Q: Solve 8 tan x sin x -8 tan x =0 in the interval [0,2n). The solution(s) is/are (Use a comma to…

A: This question can be solved using the concept of trigonometric equation.

Q: Cos 2x

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Q: Find the derivative of these functions with respect to x.   xsin-1(In(x))

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Q: cos(2tan^-1 3/2)

A: Answer is in next step

Q: Eliminate the parameter t in the following. x = cos t − 3  y = sin t + 2

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Q: On a circle of radius 9 feet, what angle would subtend an arc of length 7 feet? degrees

A: Arc length(l)=θ360°×2πr

Q: Sketch a diagram of the situation, showing the points C for the position of  Gordon’s car, L for the…

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Q: Solve 8 tan x sin x-8 tan x= 0 in the interval [0,2r). The solution(s) is/are (Use a comma to…

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Q: 3. From the top of a lighthouse, 175 ft above the water, the angle of depression of a boat due south…

A: Suppose, the speed of a boat is x ft/min.

Q: Convert the polint from polar to Cartesian coordinates. Write your answer in the simplest form or…

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Q: How

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Q: Write the following numbers in the polar form re", 0 < 0 < 2r: 1 (a) 3 , 0 = (b) 9 + 9i (c) 3 – 3i =

A: Complex number(a+bi) into polar form  reiθ,   For polar form,     a=r cosθ, b=r sinθ    ⇒r=a2+b2 and…

Q: w=64(cos 180 degrees + i sin 180 degrees)

A: Solved below

Q: Solve ΔABC. (Round your answers to the nearest degree. If there is no solution, type  NO SOLUTION.)…

A: The Cosine rule; a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=b2+a2-2abcosC Given: a=12, b=17 &amp; c=15

Q: What is the measure of x in the figure, given 27. Why it is wrong? that its hypotenuse is equal to…

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Q: Find the length of the missing leg in the triangle in the nearest tenth

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Q: The following equation involves a trigonometric equation in quadratic form. Solve the equation on…

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Q: Please find the exact value of cos 165 degrees

A: Find the value of cos(165°).

Q: 3T sin (1) A particle moves along the x-axis with velocity given by v(t) 3 t> 0. If the particle is…

A: Given query is to find the position of the partical at indicated time.

Q: Find all solutions to the following triangle. (Round your answers to one decimal place. If either…

A: To find out measures of the triangle.

Q: Solve the equation on the interval [0,2). cot x tan x-- =0

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Q: If a person standing at the top of the building of height 50 ft is looking at her daughter standing…

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Q: Readable hand writing please.

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Q: convert to polar equation X^2 +(y-3)^2 =16

A: Put x=rcosθ and y=rsinθ

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

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Q: Eliminate the parameter t from the following. x = sin t − 5, y = cos t − 4

A: Eliminate the parameter and simplify it.

Q: θ is a central angle that cuts off an arc of length s. Find the radius of the circle if θ = 3°, s=…

A: given central angle =3o  and arc length=π2

Q: 1-5. Given the right triangle below, determine the measure of side y. Show your solution. 55 16 cm

A: Solve for the side y

Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: This question is related to cylinders and spheres, we will solve it using given information.

Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

Q: Find the value of a so that the trigonometric function passes through the given point. y Da cos x…

A: We are given that y = a cos(x). Now, we need to find the value of a so that the trigonometric…

Q: The following equation involves a trigonometric equation in quadratic form. Solve the equation on…

A: 2 cos2x + cosx -1 = 0Quadratic equation roots;forax2+bx+c=0x=-b±b2-4ac2acomparing with given…

Q: Activity 2: State My Condition! Directions: Study the markings in the parallelograms below then…

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Q: 15 22 y

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Q: Question 2. Use De Moivre's Theorem to show that 8 cos* 0 – 8 cos² 0 + 1 and 4 cos 0 (sin 0 – 2 sin…

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Q: Find the vaue of X 27 13 2501 16

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Q: Eliminate the parameter t in the following. x = cos 2t, y = sin t

A: Solution is given below:

Q: The difference between two numbers is 40. They are in the ratio 9:7. Find each number.

A: The difference between two numbers is 40. They are in the ratio 9:7. To find each number.

Q: Verify the identity. sin (a - B) = tan a- tan B cos a cos ß Write the left side numerator in terms…

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Q: You adopt two kittens from a litter of five kittens. The litter has these kinds of kittens: • two…

A: Given : Two little kittens are adopted from a litter of five kittens. The litter has these kinds of…

Q: cos x ,2 1- cos x

A: We have to simplify the trigonometric expression  cos2x1-cos2x.

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 5j, V = −11i…

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