A bumblebee leaves its hive and flies in a straight line for 30 feet. It then turns 27 degrees to the right from its original course and flies for another 40 feet in the new direction before landing on a flower. Determine the direct (straight-line) distance from the hive to the flower to the nearest 0.1 feet.

Q: Below are two parallel lines with a third line intersecting them. 56°

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Q: You leave your house and run 2 miles due west followed by 1.5 miles due north. At that time, what is…

A: Given: You leave your house and then run 2 miles to the west and after that 1.5 miles due north. To…

Q: Below are two parallel lines with a third line intersecting them. 56

A: we have to find the value of x from the given figure

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A:

Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: Below are two parallel lines with a third line intersecting them. 44

A: Given: ∠ABF = 44°AC∥EGTo find: ∠EFB = x°   Concept used:  1. ∠ABF = ∠EFH    (corresponding…

Q: Find the distance between the two points rounding to the nearest tenth (if necessary). (-8, 1) and…

A: Directly use the formula for the distance between two given points.

Q: Find the distance between the two points rounding to the nearest tenth (if necessary). (-7,-8) and…

A: We need to evaluate the distance between following two points x1,y1 = -7,-8 and x2,y2 = -4,0

Q: In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet between…

A: Given:- In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet…

Q: The angle of elevation from Mindy to a cell phone tower is 75°. If Mindy is standing 28 feet from…

A: M → Mindy         TD → Tower ,          ∠ TMD  = 75°  ,       MD = 28 ft .

Q: Below are two parallel lines with a third line intersecting them. 50

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Q: The shadow of a tower standing on a level plane is found to be 30m longer when the Sun's altitude…

A: Solution is given below

Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: You start driving east for 14 miles, turn left, and drive north for another 10 miles. At the end of…

A: The exact left turn to the north from the east makes the right-angle. The distance between the…

Q: 3. (-19,-16), (-3, 14)

A: The solution is :

Q: A train track through a mountain is 2400 feet long and makes an angle of 1.5° with the horizontal.…

A:

Q: Write down your strategy for solving an oblique triangle.

A: The trigonometry of oblique triangles is not as simpleof that of right triangles,but there are two…

Q: A plane fying at a height of 3000 feet above ground passes vertically above a helicopter at an…

A: Given: From the figure drawn: Point P represents position of plane. Height of the plane above ground…

Q: Find an equation for the vertical line that passes through the point (1,-7)

A: Equation of vertical line passing through the point (1, -7)

Q: Find an equation for the perpendicular bisector of the line segment whose endpoints (9,2) and (1,6).…

A:

Q: A quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can…

Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: Find the midpoint of the line segment from (1,1) to (-3,-4) Write your answer as an ordered pair.…

A: Find the midpoint of line segment

Q: Find the distance between the two points rounding to the nearest tenth (if necessary). (-9,-2) and…

A:

Q: Find the equation of a line passing through the point (-2,-1) and having inclination 1500

A:

Q: If you drive 9 miles south then make a left turn and drive 12 miles east how far are you in a…

A: The scenario described in the question can be shown in the diagram below

Q: If the slope of a line is 3, how much vertical change will be present for a horizontal change of 52…

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

Q: The elevation angle of the artificial earth satellite is measured by two ground stations located on…

A:

Q: Find an angle that is coterminal with a standard position angle measuring -210 that is between -720…

A: Introduction   we Know that all the coterminal angles of the angle θ is   θ+ 360° n where n is any…

Q: Not sure how to do this.

A: Recall the given fact.

Q: Find the distance between each pair of points. Round your answer to the nearest tenth,if necessary.

A: To find: The distance between the points -2,-3 and -4,-4. Concept used: The distance between the…

Q: You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of…

A: by Pythagoras theorem

Q: What is the distance of the rider from the vertical line after 16 seconds?

A: We have to find the distance of the rider.

Q: Find the distance between W(-3, -5) and X(-9, 4). If neccessary, round to the nearest tenth.

A:

Q: Find an angle that is coterminal with a standard position angle measuring -210° that is between…

A: The given angle is  = - 210°

Q: Find the intersection point of the two lines:

A: Given the equation of the lines[x,y,z] = [-1,2,0] + t [3,-1,4][x,y,z] = [-6,8,-1] + u [2,-5,-3]

Q: Find the distance of the line segment. Round to the nearest tenth, if necessary. -4 -2

A:

Q: ;Graph the horizontal line that passes through the point (5,-3) and find its equation.

A:

Q: You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of…

A: Answer

Q: The shadow of a tower standing on a level plane is found to be 30m longer when the Sun's altitude…

A:

Q: The diameter of each tire on a vehicle is 32 inches. If the tires are moving at a rate of 800…

A:

Q: Find the equation of the straight line which bisects perpendicularly the line segment joining the…

A: To find the equation of straight line which bisects perpendicularly the line segment joining the two…

Q: You start driving north for 5 miles, turn right, and drive east for another 12 miles. At the end of…

A: Remark : Phthagoream theoremfor a right angled triangle∆ ABC we have(hypotenuse)2=(hight)2+(base)2 ⇒…

Q: Write the equation of the line through (4, 9) and perpendicular to  y = 0.5x + 10. Please show…

A:

Q: Below are two parallel lines with a third line intersecting them. 48°

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Q: An airplane is flying in a straight line towards an airfield at a fixed altitude. At one point the…

A: Given: From the given information we make diagram. WE need find the distance between airfield and…

Q: A plane flies 300 miles straight West and then turns 55° North of West and travels for 200 miles.…

A: please check step 2 for solution

Q: Below are two parallel lines with a third line intersecting them. 107°

A:

Q: You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.