After flying an altitude of 800 meters, a hot air balloon starts to descend. Its ground distance from the landing pad is 12 kilometers. What is the angle of depression for this part of the flight? HINT: 1 km = 1000 m O 86.18° O 3.81° O 0.86° O 89.14°

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: E. From the top of a 250 ft lighthouse, then angle of depression to a ship in the ocean is 18. How…

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Q: Find the angle of depression from point A to point C. A 66° 5 mi B Angle of depression = [? ]°

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26 0 . Determine, correct…

A: Let AB be the cliff and A be the top of the cliff.Height of the cliff=18.2 mLet C be the floating…

Q: At a certain time, a vertical pole 3 m tall casts a 4 m shadow. What is the angle of elevation ofthe…

A: Given that at a certain time, a vertical pole 3 m tall casts a 4 m shadow we have to find the angle…

Q: Find the value of x to determine the missing angle measure and then classify the triangle by its…

A: Consider the following figure: m∠CAD=115°m∠CDA=30°m∠CDE=x°

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: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

Q: A ship starts at point X, travels 200 miles to point Y, adjusts its route according to the angle…

A: *to find:- xz.

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

A:

Q: $2. A forest ranger, 35 meters above the ground in a tower, observes a blazing fire.The angle of…

A: From the given question, Let height of tower = 35  distance from tower = x angle of depression = 20°

Q: An airplane begins its descent with an average speed of 390 mph at an angle of depression of 23º.…

A: Given: Angle of depression is:  23° Average speed of its descent is: 390 mph

Q: If a person standing at the top of the building of height 50 ft is looking at her daughter standing…

A:

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°, If the viewer is…

A:

Q: 2. The post office building in Manila is 21.8 meters away from the southern bank of the Pasig River.…

A: We need to find the width of the river.

Q: In terms of the cotangent of a positive acute angle, what is the expression for cot ? 17x Provide…

A: As we know that: cot2π-θ=-cotθ Since the angle 2π-θ is lying on the fourth quadrant. So, the…

Q: 1. From the top of the cliff 126m high, the angle of depression of a boat is 20.7°. How far is the…

A: given:-  angle of depression=20.7 height=126m

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

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

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Q: Determine the value of angle A that corresponds to sec LA=1.3051. Round the answer to the nearest…

A: Given that Sec(A)=1.3051 We have to find the value of angle A.

Q: Given this triangle, what is the value of sec B?

A: Given Triangle is sec B =?

Q: 2. From the top of a 100 foot building a man observes a car moving toward the building. If the angle…

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Q: 1. From the top of a cliff 400 feet above sea level, the angle of depression of a boat out to sea is…

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Q: What is the reference angle ô of P(0) in the 3rd quadrant? O T -

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: The horizontal distance on a survev map from the top edge of a riverbank to the river is 85 feet…

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Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

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

A:

Q: Identify the quadrant for the angle 0 satisfying the following conditions. cot (0) 0 O A. Quadrant I…

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

A: Given that:   The sonar detects a submarine at a depth of about 350 meters and horizontal distance…

Q: Exercise 2. From a satellite 600 miles above the earth, it is observed that the angle 0 formed by…

A: In the given diagram, since its a right triangle, therefore sinθ=oppositehypotenuse Opposite is the…

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

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: 2) In triangle ABC, a=14 ft, b=18 ft, c=12 ft. Find the mesasure of angle A to the nearest degree.

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

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

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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: What is the angle of elevation of the sun when a 35-foot flag pole casts a 20-foot shadow? Round to…

A:

Q: 2) An airplane flying at an altitude of 563m is 2 km from the airstrip. What is the angle of…

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Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

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Q: Find the measure of the angle using the reference angle. 3.

A: We know that, a reference angle is the smallest angle that the terminal side of a given angle makes…

Q: Two observers at point A and B, 150 km apart, sight a balloon between them at angles of elevation…

A: "ASA" is when we know two angles and a side between the angles. "ASA" means "Angle, Side, Angle" To…

Q: An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly…

A: Question:An Air Force pilot making a preliminary aerial survey, first observed that when he flew…

Q: 6. From the top of Mt. Banahaw 135m high, it is observed that the angle of depression of a ship is…

A:

Q: 1. The bases on a baseball diamond are 27.4 m apart. The pitcher pitches, and the batter hits a fly…

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Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

Q: Find the value of the marked angle to the nearest degree. 27 11 1?

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Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is…

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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.