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Q: A life preserver is seen floating down a river. The life preserver is first spotted 50 feet away. A…

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Q: A person on the top of a tall building looks through his binoculars at his friend that is 300 ft…

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Q: A ship spots a lighthouse and measures the horizontal distance to it to be 50 meters. The top of the…

A: As given structure form a right triangle whose two sides are given so to find the angle use…

Q: in central pivot irrigation, a large irrigation pipe on wheels rotates around a center point. A…

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Q: 7. The Sears Tower in Chicago is the tallest building in the United States at a height of 1450 ft.…

A: Since you have asked multiple questions. We are solving only 1st question for you. If you have to…

Q: Kiato is on top of a 200 ft. lighthouse. The angle of depression to a ship on the ocean is 20°. How…

A:

Q: A wheelchair ramp is being built to access a building. The ramp needs to have a rise of 0.75 feet…

A: Angle = 10.61°

Q: An airplane begins its descent with an average speed of 240 mph at an angle of depression of 8°. How…

A: Here we find the decreasing altitude of plane.

Q: A mine shaft is 300 m deep and makes an angle of 65° with the How long is the shaft? Round answer to…

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Q: A tree broken over by the wind forms a right triangle with the ground. If the broken part makes an…

A: A tree broken over by the wind forms a right triangle with the ground. If the broken part makes an…

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

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Q: When sitting atop a tree and looking down at his pal Joey, the angle of depression of Mack's line of…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A communication tower is located at the top of a steephill, as shown. The angle of inclination of…

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Q: . The Coast Guard has sent a rescue helicopter to retrieve passengers off a disabled ship. The ship…

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Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: Draw a schematic diagram of given question. Given data, Point A is the kite Length of string of…

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 78 feet long is…

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Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A:

Q: A helicopter takes off from an airport at an angle of 10° 40' . How high will it reach after it has…

A: There are six trigonometric functions which are sine, cosine, secant, cosecant, tangent and…

Q: A 14-foot ladder is placed against a wall. The ladder is on level ground at an angle of 66.5 ° to…

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Q: The largest Egyptian pyramid is 146.5 m high. When Rowena stands far away from the pyramid, her line…

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Q: 10 feet

A: Cosx=base/hypotenuse

Q: A surveyor wishes to measure the width of a trench. He places a transit telescope in a posi- tion on…

A: A surveyor places a transit telescope in a position on one side of the trench is 18 feet higher than…

Q: A plane ascends at a 28° angle. When it reaches an altitude of 250 feet, how much ground distance…

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Q: Kristine observes the top of a lookout tower from a point 270 ft from its base. If the indicated…

A: Given, a right angle triangle where the adjacent length is 270ft and elevation angle is 37 degree.…

Q: A hot-air balloon is flying at an altitude of 2540 feet. If the angle of depression from the pilot…

A:

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: This question is about application of derivative of trigonometry

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: A helicopter is hovering 110 feet in the air over a landing pad. If the landing agent sees the…

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Q: A group of campers hike down a steep path. One member of the group has an altimeter on his watch to…

A: Draw a triangle that represents the scenario.

Q: A 200-foot-high construction is anchored to the ground by a wire. The wire is fastened to the ground…

A:

Q: A mine shaft is 300 m deep and makes an angle of 65° with the ground. How long is the shaft? Round…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A:

Q: To measure the distance through a mountain for a proposed tunnel, a point C is chosen that can be…

A: Explained below

Q: A swimmer swims 1.3 mph in still water and wants to swim to a point B due north from her starting…

A: Vector addition

Q: . A kite is flying at an angle of elevation of 67° with the ground. If 100 feet of string have been…

A: Given:                         To determine:                           Value of AC:=?

Q: A 30-foot ramp is used to move product to a loading dock. The ramp makes a 24° angle with the…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A:

Q: A car rolls forward 5 ft. The car wheel has a 16 in radius. Through what angle (to the nearest tenth…

A: Given Radius of wheel=16 inch A car roll forward = 5 ft = 5 x 12 = 60 inches

Q: A basketball player looks directly at the rim that is 10 feet high. The angle of elevation from her…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A:

Q: A woman looks down from a hot air balloon. She sees a sheep below and measures the angle of…

A: solution:-Angle of depression=Angle of elevation=35°the sheep is 125 ft from where the women is…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: Man holds the end of the kite string at ground level and estimates the angle of elevation of the…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 240…

A: y=240 ft θ=40o from right angle triangle sinθ=perpendicularhypotenuse

Q: An airplane begins its descent with an average speed of 365 mph at an angle of depression of 8°. How…

A:

Q: A boat on the ocean is scanning the depths for a sunken ship. When they find it, their scanner tells…

A: The angle of depression is the angle between the horizontal line and the line joining the observer…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A:

Q: After a wind storm, a farmer notices that his 37-foot windmill may be leaning, but he is not sure.…

A: Given: After a wind storm, a farmer notices that his 37-foot windmill may be leaning,but he is not…

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.