A radio tower is located 375 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of the tower is 25°. How tall is the tower? feet

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

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: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

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Q: From a window 31.0 ft above the street, the angle of elevation to the top of the building across the…

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

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Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

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Q: A person standing 354 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 354 feet from the base of a churchThe angle of elevation to the church's steeple…

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

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 campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

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Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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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: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

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Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

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Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

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Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top of…

A: Draw a schematic diagram of given figure.

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Please follow the next step.

Q: A radio transmission tower is 319 feet tall. A guy wire is to be attached 6 feet from the top and is…

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Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

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

A: Sketch the situation roughly.Let the height of the lamp post is h ft

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

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Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

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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: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

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

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Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

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Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

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Q: What is the angle of elevation of the sun when a 35-foot flag pole casts a 20-foot shadow? Round to…

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Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

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Q: From the top of a 200 foot lighthouse, the angle of depression to a ship in the ocean is 13°. How…

A: Answer and explanation is given below..

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: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

A:

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

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

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Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

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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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.