A surveyor measured the angle of elevation of a flat spire as 15 degrees from a point on horizontal ground. He moves 30m nearer to the flat spire and measures the angle of elevation as 43 degrees. Calculate the height of the spire to the nearest hundredth.

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

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Q: From a point 100 feet away from a cell phone tower, the angle of elevation to the top of the tower…

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Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: Two surveyors, Warren and MJ, need to determine the height of a steep cliff. They stand 50 m apart…

A: Two surveyors, Warren and MJ, need to determine the height of a steep cliff. They stand 50 m apart…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: The angle of elevation from Mindy to a cell phone tower is 75°. If Mindy is standing 28 feet from…

A: M → Mindy         TD → Tower ,          ∠ TMD  = 75°  ,       MD = 28 ft .

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: From the third floor window of a building the angle of depression of an object on the ground is 35°…

A: Given that the angle of depression of an object on the ground from third floor window of a building…

Q: Exercise 1. To estimate the height of a mountain above a level plain, the angle of elevation to the…

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Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: A surveyor determines that the angle of elevation to the top of a building from a point on the…

A: To solve the problem, we need to consider that two triangles are formed depending on the distance…

Q: From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.…

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Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top…

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Q: the acute angle (in radians) between the two straight lines y=3x +2 and y=4x+7 is closest to what…

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Q: A man standing 32m away from a tower observes that the angles of elevation of the top and bottom of…

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Q: Olivia stands on the street and looks at the 6th floor of a building at a 50° angle of elevation.…

A: The following diagram depicts the given information in the question.

Q: . Standing on top of a 30-ft lifeguard tower, an observer measures the angle of elevation of a…

A: We will be using the formula of tangent at the given triangles to find the height (h) of the…

Q: observation tower is 75 m high. A support wire attached to the tower 20 m from the top. If the…

A: Given query is to find the length of the wire.

Q: From a hotel window 30 meters above the ground, Alan finds that the angle of elevation of the top of…

A: Let the distance between the monument and the hotel window be x. Then we get,…

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A surveyor determines that the angle of elevation of the top of a building from a point on the…

A:

Q: A person standing at a point some distance away from the base of an antenna tower measures the angle…

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Q: A geologist measured the angle of elevation to the top of a mountain to be 39°. From a point 200…

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Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Draw the situation using right triangles and use trigonometric ratios.

Q: An observer at the top of a 532 foot cliff measures the angle of depression from the top of the…

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Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

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Q: Jan measures the angle of elevation of the peak of the mountain at 35 degrees. Susan, who is 1200…

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Q: The angle of elongation between Venus and the Sun is 26". Given that Venus is 67.2 million miles…

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Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

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Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

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

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

Q: The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, MO…

A: This problem can simply get solved by trigonometry. Let us use following figure for reference Now…

Q: The angle of elevation from the top of a 95 foot tall bulding to a hot alr balloon In the sky is 76.…

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Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

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Q: A curious math student standing on the roof of a building 36 feet above the ground decides to…

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Q: A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the angle at…

A: Given:- A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the…

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

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Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of…

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Q: You are standing 10 feet away from a tree, and you measure the angle of elevation to be 19°. How…

A: By using trigonometric ratio and Pythagoras theorem, we calculate the height of the tree.

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: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

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.