Convert each angle measure to decimal degree form. (Round your answers to three decimal places.) (a)     55° 6' 30'' (b) −210° 15''

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: To solve the following problems

Q: Solve the triangle. Round your answers to the nearest tenth. Triangle ABC with angle B being seventy…

A: Given, ∆ABC with ∠B = 79.5°, AB = 25.1 km  and  BC =24 km  We have to solve the triangle

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: please help

A: Here we have to find the pitch of the roof,   The length of the base of the roof is 10 ft

Q: A state trooper is hidden 35 feet from a highway. One second after a truck passes, the angle …

A: Solution: Let AB =35 feet, θ=15°

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

A:

Q: At a certain time, a vertical pole 3 m tall casts a 4 m shadow. What is the angle of elevation ofthe…

A: Given that at a certain time, a vertical pole 3 m tall casts a 4 m shadow we have to find the angle…

Q: The designers of a water park are creating a new slide and have sketched some preliminary drawings.…

A: We have givenLength of ladder, l = 45ftAngle of elevation, θ = 60º

Q: An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the…

A: Redraw the diagram and label the the dimensions of triangle formed by dotted lines.

Q: 4. A man whose eye is 1.5 m. above his sole stands on a 48.5 m. high building. The angle of…

A: The height of the man is 1.5 m and he is standing on a building whose height is 48.5 m. So, the…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: This question is based on using of Sine law.

Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

Q: D Listen During her shift, a pilot flies from Columbus to Atlanta, a distance of 448 miles, and then…

A: To find out the angle from phoenix airport to the cities of atlanta and columbus

Q: What is the value of cotθ if the terminal side of angle θ intersects the unit circle in the first…

A: We have to find the value of cotθ if the terminal side of angle θ intersects the unit circle in the…

Q: Disney’s tower of terror ride is 199ft tall. If josh is standing 132 ft from the base of the ride,…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A:

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A:

Q: The pilot of a small airplane flying 600 m above the ground notices a village 800 horizontal meters…

A:

Q: A woman standing on a hill sees a flagpole that she knows is 40 ft tall. The angle of depression to…

A: Consider above diagramLH represents the hill and L is position of women.FP represents flagpole of…

Q: 2. From the top of a 100 foot building a man observes a car moving toward the building. If the angle…

A:

Q: 12. At a certain time of day your shadow is 6 feet long. What would be your angle of elevation to…

A:

Q: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the…

A: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the…

Q: A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel…

A: To determine the angle of elevation.

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A:

Q: If a loading ramp is placed next to a truck at a height of 2 feet and the ramp is 17 feet long what…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A:

Q: An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the…

A:

Q: A person at the airport observes a plane flying in for landing. The plane is 700 feet away from the…

A: given,

Q: After a wind storm, a farmer notices that his 29-foot windmill may be leaning, but he is not sure.…

A: As per the given information, the triangle would be

Q: The designers of a water park are creating a new slide ans have sketched some preliminary drawings.…

A:

Q: A buoy is floating in the water near a lighthouse. The height of the lighthouse is 18 meters, and…

A:

Q: Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away…

A:

Q: Jane is running laps on a circular track that has a radius of 115 meters. She starts at the 3…

A:

Q: The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff…

A: The given image is

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given  Angle of elevation from ground floor to top of the building = 49° Angle of elevation from…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A:

Q: A boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet…

A:

Q: a. A 600-foot guy wire is attached to the top of a communications tower. The wire makes a 65o angle…

A:

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: for the triangle ABE, use the tan function  tan31=xy y=xtan31

Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

A:

Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

Q: 2. Bryan is using an 8-ft ladder to pick apples from a tree. The bottom of the ladder makes an angle…

A: SOLUTION-

Q: 3. A teenager at a distance of (30 + 6) meters from the foot of a building, observing the top of a…

A: Given:

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 81 feet long is…

A:

Q: After a wind storm, a farmer notices that his 37-foot windmill may be leaning, but he is not sure.…

A: Given: After a wind storm, a farmer notices that his 37-foot windmill may be leaning,but he is not…

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.