A person is standing on a cliff that is 200ft above a body of water.  The person looks down at an angle of depression of 35o at a sailboat.  Then the person looks at a yacht that is further out at an angle of depression of 12o.  What is the distance (in feet) between the sailboat and the yacht? (Round to the nearest foot)

Q: The depth of a fishing lure being pulled through the water can be determined by the angle of…

A: Sine of any angle x is given by: sin(x)=opposite sideHypotenuse

Q: Elizabeth wants to know the angle at which the sun hits a tree in her backyard at 3pm. She finds…

A: length of a tree shadow is 24 feet=288 inches length of Elizabeth shadow is 6 ft 5 inches =77 inches…

Q: A person is standing on a cliff that is 200ft above a body of water. The person looks down at an…

A:

Q: 3. From a point on the ground, the angle of elevation of the top of the building is 650. Moving 196…

A:

Q: An escalator lifts people to the second floor of a building, 30 ft above the first floor. The…

A: To find: The distance travel by a person: Formula used: Trigonometric ratio: Calculation: Assume…

Q: A flagpole 94.3 ft tall is on the top of a building. From a point on level ground, the angle of…

A:

Q: A video camera is mounted on top of a building that is 120 m tall. The angle of depression from the…

A: Given diagram is,

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A:

Q: A helicopter is flying at an altitude of 338 meters, at an angle of depression of 27° to its landing…

A: Angle of elevation from helicopter to the landing pad is 27⁰. Helicopter is flying at an altitude of…

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 61° when the…

A: We need to find how high the ladder is.

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: An airplane is flying at an elevation of 5150 ft, directly above a straight highway.Two motorists…

Q: A 16-foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 3…

A: Topic = Trigonometric ratios  the distance, in feet, between the ground and the top of the ladder is…

Q: A student is flying a kite. If the length of the string of the kite is 125 ft and the angle of…

A:

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: From the top of a 250-foot lighthouse, a plane is sighted overhead and a ship is observed directly…

A: Consider the labelled diagram below explaining the situation. Let d be the distance of ship from the…

Q: You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 40∘…

A:

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: Make a diagram using the given information

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: We draw the situation roughly: Here P=airplane A and B= motorists given that PD= height of the…

Q: An observation tower is 75 meters high a support wire is attached to the tower 20 meters from the…

A:

Q: A helicopter hovers 1150 feet above a small island. The figure shows that the angle of depression…

A:

Q: An airplane pilot over the Atlantic sights an atoll at the angle of depression of 5°. At this time,…

A: To find: The height of the plane to the nearest meter. Given information: An airplane pilot over the…

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 64°, and the top…

A: The ladder is forming a right angled triangle with the house for which Perpendicular= 13 ft., Let…

Q: The ramp of a moving truck touches the ground 14 feet away from the end of the truck. If the ramp…

A: Consider the given information: Ramp touches 14 feet away from end of truck. angle made by ramp…

Q: A man looks up at the top of a tall building where he can see a flag. He stands 50 feet away from…

A: We need to find the height of flag pole. We use tan formulae to find the height of flag pole

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 71° when the…

A:

Q: An escalator lifts people to the second floor of a building, 30 ft above the first floor. The…

A: Soln          Sin30 = 30x         I2 = 30x          x = 30×2          x = 60 ftso The person travel…

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A: Find the horizontal distance

Q: From the top of a 267 foot lighthouse a plane excited overhead and a ship is observed directly below…

A: Rounding to the nearest foot the Answer will be 276 ft

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

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

A:

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

Q: An escalator lifts people to the second floor of a building, 22 ft above the first floor. The…

A: Given :  Hight from 1st floor to 2nd floor = 22 ft  let Length of escalator = x ft  angle of…

Q: A tower 125 ft. high is on a cliff on the bank of a river. From the top of the tower the angle of…

A: Given that: Height of the tower = 125 ft From the top of the tower the angle of depression of a…

Q: A helicopter hovers 1150 feet above a small island. The figure shows that the angle of depression…

A: Topic:- trigonometry ratios

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

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

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 61°, and the top…

A: Let the Length of the ladder be 'l' Using sin ratio it follows : Siin (61°) = 15l

Q: A short-wave radio antenna is supported by two guy wires, 150 ft and 165 ft long. Each wire is…

A:

Q: A flagpole, which is 34 ft high, stands on top of a tower, which is 30 ft high. From a certain point…

A:

Q: From the top of a 250-foot lighthouse, a plane is sighted overhead and a ship is observed directly…

A: Given: From the top of a 250-foot lighthouse, a plane is sighted overhead and aship is observed…

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 62° when the…

A:

Q: Two guys wire from the top of a 30 ft tent pole are anchored to the ground below by two stakes. The…

A:

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 66°, and the top…

A: our objective is to find x.

Q: An airplane climbs at an angle of 13 degrees with the ground. What is the ground distance it has…

A: Use tan theta

Q: How tall is the building across the street? (Round to the nearest foot.)

A: Follow the procedure given below.

Q: A kite is flying  87   ft  off the ground, and its string is pulled taut. The angle of elevation…

A: let A be the position of the kite It is 87ft above the ground  The angle of elevation is 53°

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 70° when the…

A: Given, Assume length of ladder be x

Q: A boat is 1000 meters from a cliff. If the angle of elevation from the boat to the top of the cliff…

A: Topic-hight & distance

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: Given: Airplane is flying at an elevation of 5150 ft. Two cars on the highway, both on one side of…

Q: a)An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: We will answer the first two question's as we don't answer multiple questions at a time. Please…

Q: As Jackson stands near a helicopter landing pad (on the ground), he sees a helicopte approaching.…

A: Given, Altitude of the helicopter = 148 m  Angle of depression from the helicopter to jackson = 42°…