A Telecommunication's tower can send a signal up to 90 miles from its location. You are currently situated at 80 miles east and 60 miles north from the tower. At what coordinate are you currently situated? ( What is the shortest distance that you have to travel horizontally to receive signal from the tower? miles (Round your answer to the nearest two decimal places)

Q: Suppose that a rocket is fired at an angle of 5° from the vertical with an initial speed of 1000…

A: Ans a. LetGravity with an angle θangle with horizontal is 85°Formula for calculation of time is…

Q: A 231 ft tower is located on the side of a mountain that is inclined 22* to the horizontal. A guy…

A: We first label the picture and try to find angle ABC by drawing a parallel line to the base. From…

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A:

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Solution: The objective is to determine how far from the base of the tree am I.

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We will use trigonometric ratios to find the answer

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A: From the given problem,  represented diagram is shown below :     OA=27 ft.θ=440AB=length of…

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A:

Q: A 110-foot vertical tower is built on the side of a hill that makes a 6° angle with the horizontal…

A: We have to find the lengths of wires. This problem can be solved by using law of cosines.

Q: pilot flies in a straight path for 1 hour, 30 min. She then makes a course correction, heading 10°…

A: To find: The distance between the position of pilot from starting point.

Q: An 11-ft ladder leans agalnst the side of a house. The bottom of the ladder is 6 ft from the side of…

A: In a right-angled triangle with sides a, b, c  According to Pythagoras theorem:

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Given that      A pilot flies in a straight path for 1hr 30min.  She then makes a course correction,…

Q: Question 2 How far is the airplane from the runway? Round to the nearest tenth. 10,000 ft 32,000 ft…

A: we have from pythagorasformula -AC2 = AB2 + BC2         -(1)Now, applying pythagorasFormula in R+ .…

Q: A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter…

A: As we know that; The expression for the volume of the solid sphere is: V=43πr3 Where r is the radius…

Q: A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the…

A: From the given information , Lets make a diagram  First we find out x using trigonometric ratio…

Q: A Ferris wheel with a diameter of 192 feet was built in a city. The top of the wheel stands 197 feet…

A: Consider the figure:

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A: find explanation below

Q: Solve for x to the nearest tenth if necessary. Assume that segments that appear to be tangent are…

A: I am going to solve the given problem by using the side length of two secants of a circle to get the…

Q: A kite is flying 96 ft off the ground, and its string is pulled taut. The a of elevation of the kite…

A:

Q: A kite flying in the air has an 8-ft line attached to it. Its line is pulled taut and casts a 6-ft…

A: Given,          A kite flying in the air has an 8-ft line attached to it. The line is pulled taut…

Q: A sensor light installed on the edge of a home can detect motion for a distance of 53 ft. In front…

A: Given:       Distance =53 ft       Range of motion θ=226°      Area=area of full circle×θ360°…

Q: Find the length of the hypotenuse of the given right triangle pictured below. Round to two decimal…

A: Given that: A right triangle as shown.

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10° to…

A:

Q: A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the…

A: Refer to the  figure:The height of the mountain, AB = 3400ftThe base of the mountain, AC  = ?The…

Q: A pilot flies in a straight path for 1 hour 30 min. She then makes a course correction, heading 10…

A:

Q: A 13.9 foot ladder is leaning against a wall. If the foot of the ladder makes a 59.6 angle with the…

A: We know  that the sine ratio, sin (x) = perpendicular / hypotenuse

Q: A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is traveling at 50 mi/h.…

A:

Q: The roof of a house is at a 20° angle. An 8-foot solar panel is to be mounted on the roof and should…

A: Draw a schematic diagram of given figure,

Q: Find the shortest ladder which will reach from the ground to the house when leaning over the wall.…

A: Given, A wall 8 ft high is 338 ft. from a house.a = 8 cscθb = 338secθ = 278secθLet the length of…

Q: A kite flying in the air has an 11-ft line attached to it. Its line is pulled taut and casts a 10-ft…

A: We have to find the height of kite.

Q: A 10-foot ladder is placed against the side of a building as shown in figure 1 below. The bottom of…

A: Here the length of the ladder will be fixedalways ie 10 ft but we can move the ladderforward to…

Q: An airplane climbs at an angle of 12° at an average speed of 410 mph. How long will it take for the…

A:

Q: Find the altitude of the aircraft in the problem introduced at the beginning of this section, shown…

A: To solve this problem, introduce an arbitrary variable and formulate equations based on the…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 12° to…

A: Speed = 750 mi/h Time = 1.5 hr Distance = speed * time                = 750*1.5 = 1125 mile Again,…

Q: Find the value of the variable using the given chord, secant, and tangent lengths. If the answer is…

A:

Q: A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road…

A: Given, A car travels along a straight road, heading east for 1 h, then traveling for 30 min on…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: The distance between A and B is 53 miles. The angle of elevation of the satellite at A is 890. The…

Q: A ship is traveling a course that is 100 miles from, and parallel to, a straight shoreline. The ship…

A: Let A be the point where origin is present . So its coordinate is 0,0 .x-axis passes from the point…

Q: A 110-foot vertical tower is built on the side of a hill that makes a 6° angle with the horizontal…

A:

Q: A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow. Find the…

A: Given the height of kite is 8 ft from the ground and its shadow is 6 ft long on the ground. Suppose…

Q: 12. A wheelchair ramp near the door of a building has an incline of 15° and a run of 7.11 m from the…

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Q: Fire towers A and B are located 10 miles apart. Rangers at fire tower A spot a fire at 42°, and…

A:

Q: Zarathustra and Asmodeus start at the same place. Zarathustra walks two miles east and one mile…

A:

Q: A car travels from A to B at an average speed of 80 kph and back to A without loss of time at an…

A: We will use the formulae to find the distance in order to solve the given problem .

Q: A 135-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy…

A:

Q: The proper angle for a ladder is about 75° from the ground. Suppose the ladder is 29 feet long. How…

A:

Q: At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr. At 4:30 P.M. train B leaves the…

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Q: Question Two poles are connected by a wire that is also conneted to the ground between the poles.…

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Q: Suppose you are standing such that a 18-foot tree is directly between you and the sun. If you are 3…

A: Topic - similar triangles

Q: The width of a rectangle is 8 less than twice its length. If the area of the rectangle is 28 cm²,…

A: Please refer the attached image for complete solution.

Q: The man's name was Eratosthenes, and the city was Syene, a town on the Nile river, which…

A: