A lifeguard is 6ft above ground. She sees a swimmer at an angle of depression of 8°. What is the horizontal distance to the swimmer?

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: From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures…

A: This question is related to height and distance, we will solve it using given information.

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: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

A:

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: Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards the base of…

A: QUESTION- Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards…

Q: 2. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15°. How…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

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 woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A hawk is sitting on top of a tree that is 15 ft. high. It is watching a rabbit that is 18ft. from…

A:

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

A:

Q: Gene redesigned the garage from Exercise 29 so that the 12-ft roof would rise 2 ft as shown. Find…

A: the triangle formed is a right-angled triangle with a roof to be 12 ft. and is 2ft. above the…

Q: The height of a radio tower is 800ft, adn the ground on one side of the tower sloped upward at an…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

Q: The newest YMCA downtown is giving free swimming lessons to anyone wanting to join Western’s swim…

A: The trigonometric ratio gives relation among various side and angles of any right triangle . The…

Q: From a hot-air balloon, Addison measures a 27∘∘ angle of depression to a landmark that’s 989 feet…

A: given: From a hot-air balloon, Addison measures a angle of depression to a landmark that’s 989 feet…

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: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: Alexander is looking up at a 100-foot tall building at an angle of elevation of 30°. If his e 6 feet…

A:

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

A:

Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

A:

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

A:

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: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

A:

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: What is the angle of depression from the start of a 6-foot-high access ramp that ends at a point 40…

A: Given Data: The height of the ramp is: y=6 ft The distance between endpoints along the ground is:…

Q: A 300-foot tall monument is located in the distance. From a window in a building, a person…

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: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

A:

Q: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

A: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

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

A:

Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

A:

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

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

A:

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: player is

A:

Q: Lady calculus is waiting for her husband she can see him from the window, riding on his horse…

A: Consider the following figure: Consider Person L is at Point A and Person S at point C.

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: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: Michelle is stadning on the rooftop of the seda hotael, looking at abreeza mall in the distance. The…

A: According to the given problem, the representative diagram is shown below; Let  the distance from…

Q: 4) The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. 19 ft 31…

A: Given: The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. To…

Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.