Two cars leave a city at the same time and travel along straight highways that differ in direction by 80°. One car averages 60 miles per hour and the other averages 50 miles per hour. How far apart will the cars be after 30 minutes?Round to the nearest tenth of a mile.

Q: The length of the shadow of a flagpole 55.20 ft tall is 27.65 ft. Find the angle of elevation of the…

A: Given that height of a flagpole AC = 55.20 ft Length of the shadow AB= 27.65 ft Need to evaluate…

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

A:

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: the angle of inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6…

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is…

Q: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

Q: 7. Building A is 480 feet tall and Building B is 654 feet tall. If the angle of depression from the…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

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Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: A ship travels 55 km on a bearing 27° and then turns to travel on a bearing of 117° for 140km. Find…

A:

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

A:

Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used -                           sinθ =OppositeHypotenuse

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: A woman 1.5 m tall is on top of a building. She observes a car on the road at an angle of 75°. If…

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

Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

A:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: When you reach the top of a mountain, a guide takes you ziplining back down it through a series of…

A:

Q: Homework Conformation.

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Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

A:

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: a boat sails on a bearing of 66 degrees for 126miles and then turns and sails 210 miles on a bearing…

A: Draw the figure:

Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

A:

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: Two planes leave an airport at the same time. Their speeds are 150 miles per hour and 120 miles per…

A: Consider the diagram  for the given condition. Consider the distance travelled by the first plane…

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

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: At one location, the angle of elevation of the top an antenna is 44.2°. At a point that is 100 feet…

A: We sketch the situation roughly

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A plane takes off at an angle of 6°. After traveling for one mile, or 5280 feet, along this flight…

A: Angle of elevation=6 degree

Q: A triangular plot of the land had one side along a straight road measuring 300 feet. A second side…

A: Use the sine laws to find the length of other side's.

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

A:

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: The angle between the bottom of the fence and the top of the tree is 75 degrees. The tree is four…

A:

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: Two ships left Port Hope on Lake Ontario at the same time. One travelled at 12 km/h on a course of…

A:

Q: Two airplanes leave an airport., and the angle between their flight paths is 40 degrees. An hour…

A: Given query is to find the distance between the airplane after 1 hour.

Q: At a point of 50 feet from the base of a church, the angles of elevation to the bottom of the…

A:

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

A: