5-37. The Bungling Brothers Circus is in town and you are part of the crew that is setting up its enormous tent. The center pole that holds up the tent is 70 feet tall. To keep it upright, a support cable needs to be attached to the top of the pole so that the cable forms a 60° angle with the ground. a. How long is the cable? b. How far from the pole should the cable be attached to the ground?

Q: 9. What time between 2 and 3 o'clock will the angle between the hands of the clock be bisected by…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Shanna wants to build a simple lean-to in her back yard. Where the ground is level, she finds a…

A: Using trignometrical ratio in order to solve the given problem.

Q: 3. On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From…

A:

Q: A 15-ft ladder is propped against a vertical wall and makes a 72 angle with the ground. How far is…

A: The given setup can be represented by the following figure:     For this right angled triangle, to…

Q: 7. The Sears Tower in Chicago is the tallest building in the United States at a height of 1450 ft.…

A: Since you have asked multiple questions. We are solving only 1st question for you. If you have to…

Q: 4. A 14°. ladder Is leaning agalnst a house at an angle of 55°. How far is the base of the ladder…

A: Given that  the ladder is 14' and the ladder is leaning against a house at an angle 55°. The ladder,…

Q: - 14-16. For safety purposes, what angle should a 14 ft. long ladder create with the ground if it…

A: We can find the required angle as below.

Q: 9) A ship approaching a bridge tower estimate the angle of elevation to the top of the tower to be…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: |7. A surveyor needs to determine the distance across the pond shown below. She determines that the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 42. An observer on the ground sites a plane at an angle of elevation of 41.2°. At the same time, a…

A:

Q: a communication antennae of height 12.5m is attached to the roof of a school and held in place with…

A: Explained below

Q: 3.a. When the angle of elevation of the sun is 15°, how long is the shadow of a 85 foot tall tree?…

A: We use here trigonometry ratio to solve this problem.

Q: 17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle of depression of…

A:

Q: 7. The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

A: We can find both the answer as below

Q: 15. As cars drive up a ramp at a multi-storey car park, they go up 2 metres. The length of the ramp…

A: Given data: The length of AC=10 m. The length of BC=2 m The objective is to find the angle between…

Q: Suppose you have a bat swing speed of 110 feet per second and hit the ball at a 45 degree angle. The…

A: Consider the equation

Q: 31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Given that, An airplane is flying at an altitude of 6000 m over the occan directly toward a…

Q: A vegetable garden is being planned in between two buildings measuring 20 meters and 45 meters tall…

A:

Q: 6. Two ropes are attached to the top of a flag pole and nailed down in the grass. Jim is looking at…

A: Two ropes attached to the top of the flag poleThe rope on the left of the flagpole is 12 m and makes…

Q: 29. Ruth makes a model of a horizontal sundial as shown. 12.5 in, 10 in What is the missing height?…

A:

Q: A farmer is building a triangular enclosure. He has already built 2 sides. The first side is 500…

A: Two sides and angle between them is given.  Therefore, the triangle is of the form SAS. Using the…

Q: Part A,B, and C Photo #1: Question Photo #2: Answer Key

A:

Q: 23. The angle between the bottom of a fence and the top of a tree is 75". The tree is 4 feet from…

A: Given, theta = 75° adjacent= 4 feet Opposite= height of the tree= h

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A: For a right angled triangle, using the cosine rule, it can be written that cos θ=bh, where b is the…

Q: 24. If the top of the tower is 6,532 m away from an observation balloon and the angle of depression…

A:

Q: 13. An airplane is flying at an altitude of 30,000 feet. As it begins its decent, it moves toward…

A:

Q: 2 A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up…

A:

Q: 6. Shakkar, Nic, and Harry are camping in their tents. If the distance between Shakkar and Nic is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: The cables attached to a TV relay tower are 130m long. They meet level ground at an angle of  50.0°.…

A: We have to find height of the tower:

Q: A ladder that leans against a house makes a 68º angle with the ground. If the ladder is 5.5 feet…

A: NOTE: Refresh your page if you can't see any equations. . here we have C=68 BC=5.5

Q: 42. An observer on the ground sites a plane at an angle of elevation of 41.2°. At the same time, a…

A:

Q: 12-) An accessibility ramp is being built at the field house of East High. The ramp will be 3 feet…

A:

Q: 9) Suppose you are flying a kite, and it gets caught at the top of the tree. The tree is 100ft tall…

A:

Q: 5- Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a…

A:

Q: 19. An observer 9 m horizontally away from a tree observes its angle of elevation to be only half as…

A:

Q: 1. A surveyor wants to find the distance from point A on one side of a small lake to point B on the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 & 36.This will solved by the help of trigonometric value.

Q: 37. A helicopter at point T is 200 meters above the sea MN. If the angles of depression of boat Mis…

A:

Q: 9 10 11 12 13 15) A ladder that is 30 feet long needs to reach 27 feet up a building. What should…

A:

Q: 8) If Professor Hayden or any of her students ever travel(ed) to Paris, all should know the…

A:

Q: A statue 12 feet high is standing on a base 15 feet high. If an observer's eye is 5 feet above the…

A:

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: King Kong is hanging from the top of a vertical building. From a safe distance Sherman, standing on…

A: Given that King kong is hanging from the top of a vertical building. From a safe distance Sherman,…

Q: 13. The path from Crossley to Snow House is 600m long. The path from Crossley to Wallace is 40m. If…

A: Given that:                   Distance between Crossley to Snow House, a = 600mDistance between…

Q: King Kong is hanging from the top of a vertical building. From a safe distance Sherman, standing on…

A: given that                                                 there are two right angled triangles BDF…

Q: A camera is mounted at a point 4,500 ft. from the base of a rocket launching pad. Assuming the…

A:

Q: Two tourists with a surveying tool want to measure the distance from their hotel to the Washington…

A: Given data:- Distance from the Washington Monument to the Lincoln Memorial is 1.3 km From the…

Q: 5. A weight is supported by cables attached to both ends of a balance beam, as shown in the figure.…

A: Given figure, Let us rename the triangle as shown in the figure.

Q: 22:15 Time Remaining 1 point 26 y 24° Find the length of the side opposite of the 24 degree angle.…

A: Since, it is a right angle triangle,so, We have, by definition, sin(24°) = y/26 So, y = 26 sin(24°)

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.