A steel cable supports a telephone pole. The cable makes a 65 degree angle with the ground. The base of the cable is 17 feet away from the pole. What is the height of the telephone pole to the nearest foot?

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: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

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Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

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Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

A:

Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

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: A 103-foot wire is used to support a utility tower. It runs from the tower to ground and forms a 24…

A: We have  the utility tower with unknown height, the wire makes an angle 24∘ with ground runs to the…

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

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

A:

Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

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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: A 200-foot weather tower used to measure wind speed has a guy wire attached to it 175 feet above the…

A:

Q: A 150-foot weather tower used to measure wind speed has a guy wire attached to it 125 feet above the…

A: Let the length of guy wire be and feet.

Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

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

A:

Q: A 14-foot ladder leans against a wall so that the angle between the ground and the ladder is 33°.…

A: Length of Ladder is 14 foot  The angle between the ground and the ladder is 33 degrees. To find how…

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

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: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

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Q: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

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Q: If you stood 52 feet from the base of the object what would be the angle of elevation from 5.67…

A: Given question:- If you stood 52 feet from the base of the object what would be the angle of…

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A person standing 388 feet from the base of a church observed the angle of elevation to the church's…

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Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: An airplane pilot finds the measure of the angle of depression of the edge of the runway to be 47°.…

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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 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When…

A: We know that the trigonometric ratios :  sin(x) = opposite /hypotenuse .

Q: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, MO…

A: This problem can simply get solved by trigonometry. Let us use following figure for reference Now…

Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: A man standing on top of a building 60.0 feet tall is looking at the building next door. He notices…

A:

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

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

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

Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in the…

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.