Two observers at point A and B, 150 km apart, sight a balloon between them at angles of elevation 42° and 76° respectively. How far is the observer A from the balloon? Round answer to the nearest tenth.

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

A: Use the appropriate trigonometric ratio and find out the x.

Q: Solve the triangle. Round your answers to the nearest tenth. Triangle ABC with angle B being seventy…

A: Given, ∆ABC with ∠B = 79.5°, AB = 25.1 km  and  BC =24 km  We have to solve the triangle

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1750 feet apart. As the…

A: Given: Let XD=x. So, YD=1750-x. In triangle XDZ, ZD=x tan A   and   in triangle ZDY, ZD=(1750-x)…

Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

A:

Q: 7. Building A is 480 feet tall and Building B is 654 feet tall. If the angle of depression from the…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: A radio antenna, 20 ft high is located on top of a man-made platform.  A man situated on the ground…

A:

Q: A cone just fits inside a can as shown below. The diameter of the can is 7.6 cm and the height is…

A: The Corresponding Angles Postulate states that, when two parallel lines are cut by a traversal, the…

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

A:

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

A:

Q: Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 73 yd…

A: We sketch the situation roughly  We have a=73, b=104, C=58.3  We have to find AB=c =?

Q: A woman 1.5 m tall is on top of a building. She observes a car on the road at an angle of 75°. If…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

A:

Q: An aircraft (at C) is spotted by two observers (at A and B) .o are L=1700 feet apart. As the…

A: Given,           An aircraft at C is spotted by two observersat A and B who are L=1700 feet…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

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: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west…

A:

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: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

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

A:

Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking…

A: Two tracking stations A and B, which are 85 mi apart. When the satellite is on one side of the two…

Q: 6. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level…

A:

Q: (1) To measure the height of a building, a surveyor sets up his transit at a distance of 112.2 feet…

A:

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

A:

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

Q: Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 79…

A: As here we are given the length of AC, BC and the angle ACB so, we will use cosine rule to determine…

Q: 7. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be…

A:

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

A:

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

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: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 & 36.This will solved by the help of trigonometric value.

Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

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

A: Given: Distance between the milestones is, AB=6.9 km. The two angle of depressions are 35° and 50°.…

Q: From atop a 200-ft lookout tower, a fire is spotted due north through an angle of depression of 12°.…

A: Consider the given figure. Let h be the height of the tower, d be the distance from the fire to the…

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

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

Q: A mine shaft is 300 m deep and has an angle of depression of 65°. How long is the shaft? (5) 300 m…

A:

Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

A:

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

Q: Two boats start their journey from the same point A and travel along directions AC and AD, as shown…

A: tanθ=oppositeadjacent

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L= 1850 feet apart. As the…

A: SOLUTION-

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

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

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

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking…

A: Definition used –  For finding height and distance in the right-angle triangle we can use…

Q: 3. An offshore lighthouse is 2km from a coastguard station C and 2.5 km from hospital H near the…

A: let C be the coast guard station let H be the hospital and L be lighthouse

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.