125 ft 172 ft

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: 14. Find the angle of elevation of the sun when a 15 ft. pole casts a shadow 35 ft. long on level…

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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: What degree is an angle with a radians measure of 57 150° O 210° 300° 45°

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Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 40°…

A: As we know that; The trigonometric ratio. tanθ=PerpendicularBase According to the given problem, the…

Q: 107

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Q: A 12 meter flagpole casts a 9 meter shadow. Find the angle of elevation of the sun.

A: Given that a 12 meter flagpole casts a 9 meter shadow. We need to find the angle of elevation of the…

Q: A 25 foot tall flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? 25…

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Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of…

A: 16. Given Data: The height of the building is: h=50 ft The shadow of the building is: s=68 ft The…

Q: Find the angle of elevation of the sun when a 42 foot tree casts a shadow of 68 feet.

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Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

Q: Find the reference angle of 55 degrees.

A: Let, the given angle , θ = 55°Reference angle is always the smallest angle that we can make from the…

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? 30°…

A:

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: A person standing on the earth notices that a 747 Jumbo Jetflying overhead subtends an angle of…

A: Given: A person standing on the earth notices that a 747 Jumbo Jetflying overhead subtends an angle…

Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the…

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Q: During a TV production taping, the camera was raised 17m from the floor to shoot a scene 8.3m from…

A: Given: that camera was raised 17m from the floor to shoot a scene 8.3m from the same…

Q: A flagpole casts a shadow that is 15 feet long. The angle of elevation of the sun at this time is 40…

A: Drawing a figure to represent the given data will simplify the question for us. After that we will…

Q: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Given: The angle of elevation from the tip of the 67-m shadow to the top of the Space Needle is 70°.

Q: A building 56.69 feet tall has a shadow that is 60.89 feet long. Find the angle of elevation of the…

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Q: The radius of Earth is 3960 miles. Find the distance along an arc on the surface of Earth that…

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Q: A building 50.65 feet tall has a shadow that is 53.08 feet long. Find the angle of elevation of the…

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Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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Q: A tower that is 103 feet tall casts a shadow 112 feet long. Find the angle of elevation of the sun…

A: We can find the angle of elevation as below

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun? 60°…

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

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Q: Find the angle of elevation of the sun , If a 6 feet man casts a 3.5 feet shadow

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Q: A 800-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: To find the height of a communication tower , from the given data.

Q: Explain how to find the reference angle for 1863°. Find the reference angle

A: Please refer the attached image for complete solution.

Q: A 88-ft tree casts a shadow that is 150 ft long. What is the angle of elevation of the sun? (Round…

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Q: A building 34.65 feet tall has a shadow that is 38.65 feet long. Find the angle of elevation of the…

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Q: A building that is 210 feet tall casts a shadow 70 feet long. What is the angle of elevation of the…

A: From the given problem the represented diagram is as shown below. Let the angle of elevation of the…

Q: The angle of elevation from level ground to the top of a building 12m away is 38 degrees. How tall…

A: We have to find the height of the building.  For this we can take tan(38) in given triangle

Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

Q: Use a form of the Law of Sines to find the measure of the indicated angle to the nearest degree. 6…

A: For the above triangle, Sine rule is given by xsin β=6sin 74°=6sin α

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the…

A: Consider the provided information, The graph is shown below, Find the length of the shadow.

Q: a tree casts a shadow of 10 meters when the angle of elevation of the sun is 65 degrees. find the…

A: Use height and distance concept

Q: What area of 120° 40 ft

A: Solution: The objective is to find area of lawn receives water.

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: A 25 foot flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? to 25…

A: We use Trigonometry ratios

Q: A tower that is 118 feet tall casts a shadow 144 feet long. Find the angle of elevation of the sun…

A:

Q: From the 108 meters lighthouse, the angle of depression of a boat at sea is 27 degrees. Find the…

A:

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40° O…

A: According to the given problem, the represented diagram is as shown below; Let, the angle of…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

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Q: The radian measure of an angle of 334 degrees is

A:

Q: A tower that is 110 feet tall casts a shadow 161 feet long. Find the angle of elevation of the sun,…

A: Given that  A tower that is 110 feet tall casts a shadow 161 feet long. To Find the angle of…

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.