F, Step run Step rise 10

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

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

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Q: The shafts of an angle drive are acted upon by the two couples shown. Replace the two couples with a…

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Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

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Q: surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A,…

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Q: The sides of a parallelogram are 16 m and 10 m, and the longer diagonal makes an angle of 18° with…

A: Let x be the length of the longer diagonal use law of sines to find the value of x from the lower…

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

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Q: For a triangle with sides a, b, c and opposite angles A, B, C,the Law of Sines states that_______

A: For a triangle with sides a,b,c and opposite angles A,B,C the law of sines states that:   The ratio…

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

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Q: If the angle of elevation of a cloud from a point P, h meters above a lake is a and the angle of…

A: As per the let us assume that P is the point which is at H meters distance from the lake, The cloud…

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: At the Denver International Airport, planes must clear a mountain that is 1000 feet tall that is a…

A: We have to find angle of elevation must the plane take off in order to safely clear the mountain

Q: When you reach the top of a mountain, a guide takes you ziplining back down it through a series of…

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Q: Homework Conformation.

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: Russel and Mikko were tasked by sir Gian to take a picture of a certain status from a platform, the…

A: Let the angles, be θ,α as drawn in the figure. From , the figure we have : tan α=8x --(1) and, tan…

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

Q: The top of an 8-foot ladder leans against a wall at a height of 7 feet. What angle (degrees) does…

A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

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Q: After force landing, an airplane pilot radios her position to a pair of radar stations 75 miles…

A: Given After force landing, an airplane pilot radios her position to a pair of radar stations 75…

Q: 3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of…

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Q: Match each angle in Column I with its reference angle in Column II. ..... 30° 87° 60° 33° 45° 40°…

A: The given angles are 93°, 220°, -120°, -45°, 750°, 495° Note:   Multiple questions are given, we are…

Q: If θ is an angle in standard position and the point P(4,-1) is on the terminal side of θ. Find sec⁡…

A: (4,-1)

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

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: An aircraft is spotted by two observers who are 1750ft apart. As the airplane passes over the line…

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Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

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Q: A person standing on the street looks up to the top of a building and finds the angle of elevation…

A: Given that the person is standing near the building

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 tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

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Q: A 16 foot ladder leaning against a wall of a house makes a 50∘angle with the ground. How far up the…

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Q: Question 6 of 11 B Jaime decides to build an accessibility ramp to help students reach the top of a…

A: We use trigonometry rule to calculate an angle

Q: 1. A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground.…

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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: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: 1. A 20-foot ladder leans against a wall so tha the base of the ladder is 8 feet from the base of…

A: Given :- Length of ladder=20 ftBase of ladder is 8 ft from the base of building .We have to find…

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: Engineers want to measure the distance from P to Q, but the span from P to Q is across the tip of a…

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Q: Suppose each edge of the cube shown in the figure is x inches long. Find the measure of the angle…

A: Please find the solution below:

Q: Two airplanes leave an airport., and the angle between their flight paths is 40 degrees. An hour…

A: Given query is to find the distance between the airplane after 1 hour.

Q: If a = 6i - 2j and b = i + 3j, find each of the following:the angle between a and a + b

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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.