A ladder leans against a vertical wall and makes an angle of 74 degrees with the ground. The foot of the ladder is 1.8m from the base of the wall.   Determine the vertical distance from the ground to the top of the ladder. Round to the nearest tenth of a meter

Q: Find the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon.

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A: Given, To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at…

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

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A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

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A: From the diagram drawn:

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A:

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: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

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…

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A:

Q: A group of students estimated the height of a building. They stood at point C which is 25 meters…

A: Given  Distance between A and C is 25 meters  Light beam makes 60 degree with the ground  To…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: 40 ft ladder is leaning against a wall making a 48 degree angle with the ground. Draw a diagram…

A:

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: Given: A radio tower is located 400 feet from a building. From a window in the building, a person…

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…

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A: Given:

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A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

Q: A ladder leaning against a building makes an angle of 78 degrees with the ground. The base of the…

A: According to trigonometric ratios, and .

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A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

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A: According to problem   distance from tower and stone is 120 meters angle of depression θ=45°

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A: Given,

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Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: When the person is looking up the angle formed by line of sight and horizontal line is called the…

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Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

Q: An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=x AC=8 A=51

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: Anglee of elevstion = 9°Distance of base ana point of observation = 1 mile = 5280 feetIt will make a…

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A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

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A: The given image is

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Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

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: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

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.