The captain of a small boat measures and deteremines that the angle of depression from the top of a lighthouse is 12. The captain knows that the lighthouse reaches 50 meters above sea level. Find the distance between the board and the base of the lighouse.

Q: In tracking the relative location of two aircraft, a controller determines that the distance from…

A:

Q: 5. Jeremy is up in his tree fort, and his sisters Jessica and Janie are below, on the ground.…

A:

Q: angle of elevation for my point on the ground to the top of the tower is 35° 16 minutes. The angle…

A: Given query is to find the height of the tower.

Q: A 4m flag pole is not standing up straight. There is a wire attached to the top of the pole and…

A: Given information is: A 4m flagpole is not standing up straight. There is a wire attached to the…

Q: 15.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

A:

Q: 4. A four-meter ladder leans against a wall. If the foot of the ladder makes an angle of 70° with…

A:

Q: The angle of depression from an observer in an apartment complex to a gargoyle on thebuilding next…

A: Let, Point A is the original observer. Point C is gargoyle. Point B is five stories below the…

Q: You are flying a kite outside on a windy day. You have 80 foot string and are flying your kite at an…

A: SOLUTION-

Q: 1.Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to…

A:

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Kurt spots a bird sitting it the top of a 40ft   tall telephone pole.…

Q: A triangular piece of commercial real estate is priced at ​$4.75 per square foot. Determine the cost…

A:

Q: The angle of elevation from a point on the ground to the top of a pyramid is 32°30​'  The angle of…

A: The given information can be represented by the following figure. Let AB be the pyramid with height…

Q: n airport is monitoring 2 planes in its air space and measured the distance from each plane to the…

A: An airport is monitoring 2 planes in its air space and measured the distance from each plane to the…

Q: surveyor standing 57 meters from the base of a building measures the angle to the top of the…

A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…

Q: A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft…

A:

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

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

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

Q: University of Louisville is currently winning the football game against the University of Kentucky.…

A:

Q: A surveyor measured the angle of elevation of a flat spire as 15 degrees from a point on horizontal…

A:

Q: Ana and Rico are setting up decorations for their school dance. Rico is standing 5ft directly in…

A: Using trigonometric identities

Q: The angle of elevation from a point on the ground to the top of a tower is 35° 16'. The angle of…

A: From the given problem, the representative diagram as is shown below. Let the height of the tower…

Q: A camera is mounted on a tripod 5 feet high at a distance of 10 feet from George, who is 6 feet…

A:

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: From the top and bottom of a 56ft light house, the angle of depression of a ship are 41degrees and…

A: We have to find the height of the lighthouse above sea level.

Q: A surveyor standing some distance from a plateau, measures the angle of elevation from the ground to…

A:

Q: Cleo is looking at an airplane flying at an altitude of 3 miles. Her angle of elevation is 37…

A: The explanation of answer as follows

Q: In building a tent, jada ties a rope from the top of a pole 3 meters high to a stake that is 4…

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 18°. What is the distance…

A:

Q: John is surveying a lake where he observed three points (point A, point B, and point C). He found…

A: Given, AB= 250 ft A= 40° B= 112° We know that total angle in a triangle is 180° Therefore, A+B+C=…

Q: The angle of elevation from a point on the ground to the top of a tower is 38° 41'. The angle of…

A:

Q: Munir is digging a drainage ditch to prevent water from pudding under his tent. He digs a traight…

A: Given that: Depth of ditch, h=0.67 ft                    Length of ditch, L=3.5 ft

Q: large weather balloon is tethered by two ropes. one rope measures 23 feet and attaches to the…

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

Q: The two boats 15 nautical miles apart, subtends an angle of 100degrees from a lighthouse 7 naut. mi.…

A: Let d denote distance between the lighthouse and other boat. Thus, using cosine law of triangles:

Q: Two cruiser warships the Arizona and Baltimore are trying to find the position of an enemy…

A: according to question USS Arizona is at B and USS Baltimore is at A…

Q: A surveyor standing 69 meters from the base of a building measures the angle to the top of the…

A: see below the answer

Q: Two tourists with a surveying tool want to measure the distance from their hotel to the Washington…

A: Concept: Sine law: The law of sines specifies how many sides there are in a triangle and how their…

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

Q: A camera is mounted on a tripod 4 feet high at a distance of 9 feet from George, who is 5 feet tall.…

A: Given that a camera is mounted on a tripod 4 feet high at a distance of 9 feet from George. The…

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be…

A: Given: Part of the kite frame must be a right angle. The lengths of the frame must satisfy the…

Q: A​ blimp, suspended in the air at a height of 400​ feet, lies directly over a line from a sports…

A: Given: - A​ blimp, suspended in the air at a height of 400​ feet, lies directly over a line from a…

Q: From a hotel window 40 meters above the ground, James finds that the angle of elevation of the top…

A:

Q: A whale researcher is watching a whale approach directly toward a lighthouse as she observes from…

A: The horizontal lines are parallel to one another and hence by rule of alternate angles; a) the angle…

Q: picture of a 4 feet vase standing on a 3 feet pedestal. She wants to position the camera at point c…

A: To find the distance between camera and foot of pedestal.

Q: A store has a ramp near its front entrance. The ramp itself measures 13 feet and has a height of 5…

A: Given: The ramp itself measures 13 feet and has a height of 5 feet

Q: Ana and Rico are setting up decorations for their school dance. Rico is standing 5ft directly in…

A:

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

A:

Q: Given the angle 245 degrees in standard position, what is its reference angle? A. 45 degrees B. -65…

A:

Q: security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. What angle of…

A:

Q: You are building a ramp that must cover a horizontal distance of exactly 20 feet. The angle of the…

A: Horizontal distance=20 feet Angle of the ramp from the ground=8 degree

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.