From the top of a 250 ft lighthouse, the angle of depression to a ship in the ocean is 18o.  How far is the ship from the base of the lighthouse?

Q: A radio station tower was built in two sections. From a point 90 feet from the base of the tower,…

A: Here I am attaching image so that you understand each and every step.

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

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Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

Q: A radio tower is located 500 feet from a building. From a window in the building, a person…

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Q: A short-wave radio antenna is supported by two guy wires, 120 ft and 145 ft long. Each wire is…

A: Given , A short-wave radio antenna is supported by two guy wires, 120 ft and 145 ft long. Each wire…

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

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Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 23 feet long,…

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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: 3. The angle of elevation of the top of a cellphone tower to a point on the ground is 40 The…

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Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: what is the angle of elevation of the ladder?  how high does the ladder reach the building ?

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Q: 12. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of the…

A: As per requirement  we will find the solution of question number 12 in the following step.

Q: The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground…

A: tan theta=height/base tan 4=height/2 height= 2tan 4            = 0.14miles            =.14*5280…

Q: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

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Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 13 feet long,…

A:

Q: 1. From the top of a tower which is 175 ft. tall, the angle of depression to a house is 13°. How far…

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Q: ● From a point A the angle of elevation of a post is 460 10' while from a point D, 50 meters from A…

A: Note- As per our guidelines we have to answer only first question if multiple questions are…

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

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

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Q: The angle of elevation from a viewer to the center of a fireworks display is 55°, If the viewer is…

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Q: From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 21 degrees.…

A:

Q: A pine tree is located 150 ft from a person on the balcony of a house. From the balcony, an observer…

A: Given: A pine tree is located 150 ft from a person on the balcony of a house. From the balcony, an…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: A straight ramp rises at an angle of 24.5 and has a base of 20 ft long. How high is the ramp? Round…

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Q: The angle of depression from the top of a lighthouse to a ship is 40 degrees. If the lighthouse is…

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Q: From a point along a straight road, the angle of elevation to the top of a hill is 32°. From 310 ft…

A: for a right-angle triangle ABC, use the tan function  tan32=hx x=htan32

Q: 42. From the top of a building, the angle of depression to a car parked on the street below is 48°.…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: ramp has a height of 5.8 feet and an angle of 80°.  A sketch of the ramp is shown.   What is the…

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Q: From the top of a tower which which is 175ft. tall, the angle of depression to a house is 13°. How…

A: solution : 758 ft

Q: From atop a 200-ft lookout tower, a fire is spotted due north through an angle of depression of 12°.…

A: Consider the given figure. Let h be the height of the tower, d be the distance from the fire to the…

Q: From the top of a building 70 feet, high, the angle of elevation of the top of a vertical pole is 18…

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Q: An acute triangle has an area of 10 square inches. Two sides have lengths 8 inches and 5 inches.…

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Q: A radio station tower was built in two sections. From a point 87 feet from the base of the tower,…

A: We will use trigonometry for solving this problem

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: From a point on the ground 700 ft. from the base of a building, an observer finds that the angle of…

A: Distance from the base of the building to the observer = 700ft Angle with the top of the building =…

Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

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Q: From a hotel window 40 meters above the ground, James finds that the angle of elevation of the top…

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Q: A 75 feet long conveyor is used at Home Depot to unload equipment from the truck to the platform.…

A: The trigonometric ratio gives relation among various side and angles of any right triangle . The…

Q: A 75 feet long conveyor is used at Home Depot to unload equipment from the truck to the platform.…

A: Given : A75 feet long conveyor is used at home depot to unload equipment from the truck to the…

Q: A latter 13 ft long leans against the side of a building and the angle between the ladder and the…

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Q: From the top of a coconut tree that is 20 meters tall, a dog is spotted at an angle of depression of…

A: According to the given information the figure is, Height of a coconut tree = BC = 20 m Distance…

Q: A radio tower is located 450 feet from a building. From a window in the building, a person…

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Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A: Consider the ladder is the hypotenuse of the triangle that is 20 ft. The angle between the ladder…

Q: From the top of a cliff 426 feet high, the angle of depression of a ship is observed to be 18. How…

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Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is…

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.