The pilot of a helicopter flying at 1200 metres observes a small yacht at an angle of depression of 2.5°. Calculate the horizontal distance of the yacht to the helicopter (Please express your answer correct to the nearest 10 metre). Illustrate with a sketch as appropriate.

Q: A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye…

A: The arrangement of mother's eye level, ground level and playground forms a right angles triangle.…

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

A:

Q: A ladder is placed 5 ft5 ft away from a wall and reaches a point 12 ft12 ft high. What is the…

A: Given:  A ladder is placed 5 ft away from a wall and reaches a point 12 ft high. To Find:  To find…

Q: A 12 ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder…

A: From the given, consider the below figure

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

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Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: Find the length of a circular arc with a radius 12 centimeters sub tended by the central angle of 30…

A: To find the length of a circular arc.

Q: A ranger in a 95 ft tower looks down at an angle of depression of 49 and spots a camper in trouble.…

A:

Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: A 32-foot tall Tadder rests against a vertical wall. If the top of the ladder reaches a point 18…

A:

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: An 8 foot ladder is used to scale a 6 foot wall. At what angle of elevation must the ladder be…

A:

Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

A:

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation…

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Q: Due to a storm, a pilot flying at an altitude of 586 feet has to land early. If he has a horizontal…

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Q: A kite is flying at an angle of elevation of about 40°. All 80 m of stringhave been let out.…

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Q: To get a good view of a person in front of a teller's window, it is determined that a surveillance…

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

A:

Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: A 17 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A:

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

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Q: A photographer frames a carousel in her camera shot so that the line of sight forms tangent segments…

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Q: A research ship is stationed in calm waters. The sonar detects a sunken ship at a depth of about 350…

A: In ∆ABC, ∠B=90° So,∆ABC is a right angle triangle. Apply Pythagoras theorem;…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

Q: A mop is inclined against the wall, creating a 40 degree angle, along the floor. How far does the…

A:

Q: The area of a sector with a radius of 11 inches is 164.6 square inches. Calculate the approximate…

A: see 2nd step

Q: From the top of a 575-ft high bluff, a rescue scout looks down upon a hot air balloon accident. The…

A:

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: The pilot of a small airplane flying 300 m above the ground notices a village off the left wing at a…

A:

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

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

A:

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

A:

Q: O A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of…

A: Solution: The objective is to find the height of the tower

Q: A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest…

A: Given, The length of a wheelchair ramp = 4.2m  It rises 0.7 m  We have to find its angle of…

Q: An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is…

A:

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

A:

Q: A ________ measures the acute angle that a path or line of sight makes with a fixed north-south line

A: A Bearing measures the acute angle that a path or line of sight makes with a fixed north-south line.

Q: An aerial photographer who photographs real estate properties has determined that the best photo is…

A: