Amari is six feet tall and measure the angle between the horizontal and a bird in the sky to be 40°. He can see that the shadow of the bird is directly beneath the bird, and 133 feet away from him on the ground. How high is the bird in the sky?

Q: The length of the shadow of a flagpole 55.20 ft tall is 27.65 ft. Find the angle of elevation of the…

A: Given that height of a flagpole AC = 55.20 ft Length of the shadow AB= 27.65 ft Need to evaluate…

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

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Q: How would you find the value of cot, sec, csc angle 300 degrees?

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Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

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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: Dana is attaching a shelf for a while and needs the shelf to be perpendicular to the wall how many…

A: According to question Dana needs the shelf to be perpendicular(90°)To the wall this mean that angle…

Q: Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards the base of…

A: QUESTION- Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards…

Q: Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

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Q: Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall.

Q: Find the Reference Angle

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Q: Haley planted a new tree in her yard.  To help the tree to grow upright, she attached support wires…

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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: At 10:30 AM Aristotle notices the angle of the sun makes a 15 meter shadow when it is behind a 12…

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Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

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Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

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: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: Aarnie has plans to build a treehouse in a large oak tree in his backyard. He takes measurements…

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Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: the length of the shadow of a building 34.09m tall is 37.62m. Find the angle of elevation of the sun…

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Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

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Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

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Q: At 0900H, Arthur cast a shadow of 185cm when the angle of elevation of the Sun that time is 30…

A: Angle of elevation is 30°. Length of shadow of Arthur is 185 cm Let the height of Arthur is h cm

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 man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

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

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Q: Find x, the angle of depression from the top of a lighthouse that is 189 ft above water level to the…

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Q: Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground…

A: Let the height of the peak of the hill be h . Let the distance BL be x . Use the tangent ratio in…

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

A:

Q: Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle…

A: As we know that  Sinθ=HeightHypotenus implies that   Height=Hypotenus×sinθ

Q: Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a…

A: K is Kite ,       h is the height of Kite ,        BK = 12 ft         ∠ KBA = 45°

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: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

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: Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements…

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Q: The angle between the bottom of the fence and the top of the tree is 75 degrees. The tree is four…

A:

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 altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

A:

Q: Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a…

A:

Q: Dana is attaching a shelf to a wall and needs the shelf to br parallel to the floor. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be parallel to then floor.…

Q: David is looking out of his window at the office building 40 feet away across the street from him.…

A:

Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: Michelle is stadning on the rooftop of the seda hotael, looking at abreeza mall in the distance. The…

A: According to the given problem, the representative diagram is shown below; Let  the distance from…

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: Draw a triangle that would be used together with the substitution x = 3 sec θ.

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.