From the top of a 150-foot tall lighthouse, a boat is spotted with an angle of depression of 18.4º. How far is the boat from the bottom of the lighthouse? Round your answer to the nearest tenth

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: The angle of elevation from a ship in the ocean to an airplane overhead is 25°. If the horizontal…

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Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 26 degrees.…

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Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: Let x be the height of the kite from ground. From the given figure it can be seen that sin40°=xy.

Q: A helicopter is flying at an altitude of 338 meters, at an angle of depression of 27° to its landing…

A: Angle of elevation from helicopter to the landing pad is 27⁰. Helicopter is flying at an altitude of…

Q: From his eye, which stands 1.61 meters above the ground, Jacob measures the angle of elevation to…

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Q: What is the measure of an angle in standard position whose terminal side intersects the unit circle…

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Q: A kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=78 C=51

Q: 24-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the…

A: We have to find out

Q: From the observation deck of the lighthouse at Sasquatch Point 55 feet above the surface of Lake…

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Q: A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft…

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Q: The cables attached to a TV relay tower are 130m long. They meet level ground at an angle of  50.0°.…

A: We have to find height of the tower:

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 33-foot ladder is leaning against the side of a building. If the ladder makes an angle of 23 52'…

A:

Q: A ladder that leans against a house makes a 68º angle with the ground. If the ladder is 5.5 feet…

A: NOTE: Refresh your page if you can't see any equations. . here we have C=68 BC=5.5

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

A: BA defines the 88 feet tree       BC is the 150 feet distance from  the tree…

Q: A short-wave radio antenna is supported by two guy wires, 120 ft and 135 ft long. Each wire is…

A: cosine = adjacent / hypotenuse  Sine = opposite / hypotenuse

Q: 4. Standing on a level road 50 feet from the base of a billboard, the angle of inclination to the…

A:

Q: A 31-foot ladder is leaning against the side of a building. If the ladder makes an angle of 28° with…

A: Cos 28 o=BC/AC

Q: A short-wave radio antenna is supported by two guy wires, 150 ft and 175 ft long. Each wire is…

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

Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

A:

Q: The angle of depression from the top of a cellular tower to a stake in the ground is 74 degrees. The…

A: Draw a schematic diagram of given question. Given data, Height of tower, h = 85 ft The angle of…

Q: From the observation deck of a skyscraper, Jamal measures a 45 ° angle of depression to a ship in…

A:

Q: spotlight upward at an aggle 75degrees from the horizontal. An observer D=505 m away measures the…

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Q: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the…

A: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the…

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: The angle of elevation from an anchor to the top of a flag pole is 20°. If the pole is 10 meters…

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Q: From a window 35.0 ft above the street, the angle of elevation to the top of the building across the…

A: The answer is found in step-2

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: A man standing on the roof of a building 60.0 feet high looks down to the building next door. He…

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Q: The base of the ladder in the figure is a = 7 ft from the building, and the angle formed by the…

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Q: A 14 foot ladder is leaning against a wall of a house make a 58 degree angle with the wall how far…

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Q: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the…

A:

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

A: Here height of the tower is h=a+b Now according to trigonometric ratios:…

Q: From the top of a lighthouse 60 feet above sea level, the angle of depression to a small boat is…

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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: A short-wave radio antenna is supported by two guy wires, 135 ft and 155 ft long. Each wire is…

A:

Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

A: We can draw a figure corresponding to the question i.e, Let the hill is represented by ACD and the…

Q: The top of a signal tower is 135 meters above sea level. The angle of depression from the top of the…

A: Given, The top of the signal tower is 135 meters above sea level. The angle of depression from the…

Q: what angle does the ramp make with the ground

A: The arrangement forms an right angled triangle with ramp is hypotenuse. So by using trigonometric…

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: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

A:

Q: A camera is mounted at a point 4,500 ft. from the base of a rocket launching pad. Assuming the…

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Q: From the top of a 170-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How far…

A: Given Light house hieght = 170 ft Angle of depression = 27°

Q: 92-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

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Q: An acute angle of a right triangle is 32 degrees. If the side opposite to it measures 50 feet, how…

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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…

A:

Q: A short-wave radio antenna is supported by two guy wires, 135 ft and 155 ft long. Each wire 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.