From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of 30. if the tower is 65 feet in height, how far is the partner from the base of the tower, to the nearest tenth of a foot?

Q: how far is the partner from the base of the tower, to the nearest tenth of a foot?

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Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

A:

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: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

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: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

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Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

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: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

A:

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

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Q: From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of…

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Q: The angle of elevation to the top of a building from a point on the ground is 22°. If the building…

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Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

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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 the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: From a second storey of a building window directly across the street, the angle of elevation of the…

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Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall…

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Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

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Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

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Q: If your standing on the trail 220 feet from the bottom of a tree, you have to look up at a 60 degree…

A: Topic-hight & distance trigonometry

Q: The angle of depression of a stone on the ground from the top of a tower is 45. If the stone is at a…

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

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

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Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: A 300-foot tall monument is located in the distance. From a window in a building, a person…

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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: 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 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top og…

A: Given:  From the second floor of Building I, an observer estimates the angle of elevation to the top…

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: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

A:

Q: The angle of depression from a helicopter to a landing pad is 65 degrees. If the horizontal distance…

A: Given that  The angle of depression from a helicopter to a landing pad is 65 degrees horizontal…

Q: The angle of elevation to the top of a flagpole is 40° from a point 30 meters away from the base of…

A: Let the height of the flagpole be h. In a right angled triangle, the tangent of an angle(other than…

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: The angle of elevation to the top of a building from a point on the ground is 24° . If the building…

A:

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: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

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.