A professor designed an asymmetrical A- frame house. The angle between sides AB and CB, which measure 36.37 ft and 18.72 ft, respectively measures 71°. Find the length of side AC.

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 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: a 187-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far is the se of the…

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

A:

Q: A ranger in a 95 ft tower looks down at an angle of depression of 49 and spots a camper in trouble.…

A:

Q: A person standing 354 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 354 feet from the base of a churchThe angle of elevation to the church's steeple…

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

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Q: Find the measure of the angle in standard position. 2

A: The angle made with the axes will be tan A=3212 tan A =3 A =60∘ The positive angle of the vector…

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A:

Q: A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base…

A:

Q: Relative to the acute angle θ, the three sides of a right triangle are the ________ side, the…

A: Explanation: The longest side of the right triangle, which is also the side opposite the right…

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees.…

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A…

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: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

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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: The angle of inclination from the base of the John Hancock Center to the top of the main structure…

A: Given that, The angle of inclination of the Willis Tower is 10.3°. The height of the Willis Tower is…

Q: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

A:

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: Explain why ZD is not a correct name for the angle below. E D

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Q: A fireman leaned a 36-foot ladder against a building.  If he placed the ladder 7 feet from the base…

A: To find the angle between ladder and ground

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

A:

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

A:

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: What is the angle of Angle A in a right triangle whose hypotenuse is 23cm and opposite side is 12cm?

A: Please see the diagram on the white board. It aptly explains the question. ABC is the triangle right…

Q: An automatic lawn sprinkler sprays up to a distance of 20 feet while rotating 30 degrees. What is…

A: Solution ) the area cover by sprinkler              = (Angle /360)× πr^2             =…

Q: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

A: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

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: 53

A: Here we find the missing angle.

Q: A person standing 388 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

A:

Q: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

A:

Q: Looking out the window of his office 33.9 meters above the ground, Jaime observes that the angles of…

A:

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 billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

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Q: a. Determine the measure of an angle whose measure is 14 times that of its supplement,

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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: Determine the measure of the exterior angle shown In the diagram (2x)\ (3x)° (3 x +12) ?

A: ∠A=2x∘∠B=3x∘∠C=3x+12∘

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

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Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

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

A:

Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

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

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

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