(a) Find the distance of the ship from the base of the cliff at this instant. (b) Determine the speed of the ship in km/h.

Q: 2. A giant west coast cedar leans at an angle of 85° to the horizontal. A man is lying down 70 m…

A:

Q: 37. When her airplane is descending to land, the pilot notes an angle of depression of 5°. If the…

A: We have, the pilot note an angle of depression of 5° if the altimeter shows an altitude of 120 ft.…

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 radio tower is located 375 feet from a building. From a window in the building, a person…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: 8. A ship is sailing toward a 50-m tall lighthouse. The angle of elevation from the ship to the top…

A:

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: An airplane is flying at 4000 feet above the ground. If the angle of depression from the airplane to…

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 funicular carries passengers up an embankment to an observation point. If the length of the track…

A: You have posted multiple questions as per our guidelines we are supposed to answer only one…

Q: 17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle of depression of…

A:

Q: 17 Use a half-angle formula to find the exact value of sec 12

A:

Q: 2. A girl 1.75m tall, standing on the roof of BHS principal's office, sees a car some distance away.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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: 31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Given that, An airplane is flying at an altitude of 6000 m over the occan directly toward a…

Q: 2. From an angle of depression of 40°, John watches his friend approach his building while standing…

A:

Q: 8. Suppose that a point on the ground is 50 feet from the base of a tree. If the angle of elevation…

A: Explanation and solutions is given below....

Q: 5) A prince is standing 100 meters from the base of a tower where a beautiful princess is being held…

A: →Angle formed between the horizontal line and line of sight of observer is called the    angle of…

Q: How do we measure the distance between two points, A and B, on Earth? We measure along a circle with…

A: Here, the point A and B are in same longitude and the difference of their latitude is θ, and θ is…

Q: Two people are standing on opposite sides of a small river. One person is located at point​ Q, a…

A: Find the length of the bridge and the distance between the two people.

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

A:

Q: 17. To measure cloud height at night, a vertical bean of light is directed on a spot on the cloud.…

A: We have to find the height of cloud .

Q: 1. An observer stands 750 yards from the launch pad of a model rocket. As the rocket rises, the…

A: For a right angled triangle, using the cosine rule, it can be written that cos θ=bh, where b is the…

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the…

A:

Q: A surveyor wishes to measure the width of a trench. He places a transit telescope in a posi- tion on…

A: A surveyor places a transit telescope in a position on one side of the trench is 18 feet higher than…

Q: 4. From a window 30.0 ft above the street, the an- gle of elevation to the top of the building…

A: Given figure, According to the given figure, AB = 30 ft ∠ACB=20°∠DCB=50°

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: 1) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. From an airplane which is flying at an altitude of 3000 feet, the angle of depression of an…

A: Given that Altitude of an aeroplane is 3000 feet  The angle of depression of an airport ground…

Q: A vertical extension is to be constructed on top of a building situated on level ground. 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: 1. From the top of a 100-ft building a man observes a car moving toward him. If the angle of…

A:

Q: 1. A surveyor wants to find the distance from point A on one side of a small lake to point B on the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

A:

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

A:

Q: A2: From a theodolite platform at an elevation of 83.69m above sea level, the top of a mountain…

A:

Q: - The angle of elevation to the top of a house is found to be 38 degrees from the ground at a…

A:

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: (i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC,…

A: Trigonometric functions of an angle are equal to the ratios of the corresponding sides of the…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 2x…

A: We have to find the  acute angle between the lines 9x-y=4,2x+y=6

Q: The shadow of a red-pine tree in northern Minnesota is 131 feet long when the angle of depression…

A:

Q: 4. Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top.…

A: Given:

Q: 33) A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base…

A:

Q: A radio tower is located 450 feet from a building. From a window in the building, a person…

A:

Q: 1. From the top of an 80-meter-high vertical cliff, a boat has an angle of depression of 38°. How…

A: Topic = Trigonometric ratios

Q: In a right triangle, angle φ has a tangent value 1.40. The side adjacent to angle φ has a length of…

A:

Q: 11) From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top…

A: Given,

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A:

Q: 2. A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store.…

A: A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store.

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.