From the top of a 161ft lighthouse, the angle of depression to a ship in the ocean is 22 degrees. How far is the ship from the base of the lighthouse?  distance in ft (decimals

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: 14. In order to find the height of a pyramid, a scientist measures the angle of elevation between…

A: Here, we need to find the height of the pyramid, CD. Given: AB = 200ft

Q: 21. The length of a string from the center of a yo-yo to tip of Tony's middle finger is 12 cm. If…

A: Given- The length of a string from the center is 12 cm, after swing it made an angle of 155°. To…

Q: 1) Determine the height of a cliff In the Jules Verne novel Mysterious Island, Captain Cyrus Harding…

A: Given that Captain Harding is at a distance of b=5.00×102 from the base of the cliff and the angle…

Q: Jerry stands at a distance from the base of a 30 foot flagpole and views its top at an angle of 42°.…

A: Topic:- trigonometry in right angle triangle  Note:- as per our guideline if more than one question…

Q: 22. An airplane approaches the runway at an 18 degree angle. If the airplane is 1000 ft away from…

A: Given query is to find the height of the height of the plane.

Q: 3) A ramp is to be built from the ground to the back of a semi truck. The bed of the truck is 1.3…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

Q: An airplane is flying at 4000 feet above the ground. If the angle of depression from the airplane to…

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Q: 2) From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.…

A: d=80m, theta=18 degree h=324m, theta=62 degree d=14.3m, theta=68 degree h=4.2m, theta=16 degree

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

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Q: A 134-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

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Q: 17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle of depression of…

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Q: 7. The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

A: We can find both the answer as below

Q: 16. In a national park, the distance between the base of two cliffs is 312 feet. The angle of…

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Q: 1.) An airplane flying at a speed of 350 mi/hr flies from a point A in the direction 130° for 30…

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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: 8. A boat traveled horizontally from the "Pier" at 512 km. and made a turn travelling 426 km. If the…

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Q: Part A,B, and C Photo #1: Question Photo #2: Answer Key

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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: 1. The angle of elevation of the top of the building from a point 30 meters away from the building…

A: We need to illustrate the given situation. The first situation is "The angle of elevation of the top…

Q: 6. The guide wire to support a radio tower is positioned 100 feet up the tower. It forms a 60-degree…

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Q: A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the…

A: we have to find the length of shadow

Q: 12. The entrance of an indoor parking space is 1 m above the ground level. A ramp from the ground…

A: The entrance of an indoor parking space is 1m above the ground level.The angle of elevation from the…

Q: 8. The angle of elevation from a point on the ground to the top of a building is 42°. The distance…

A: Let the height of the building be 'h'

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: 5. The length of the shadow of a building 27.89 meters tall is 34.62 me- ters. Find the angle (in…

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Q: A 132-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

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Q: Two pieces of steel angle are welded to form right angles. The lengths of the two pieces are 5.0 ft…

A: Let us visualize how it will look like:

Q: Recently, about 70 metric tons of soil were removed from under a leaning​ tower, and the angle the…

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Q: 12) The angle of elevation to the top of empire state building is found to be 60° from the ground at…

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Q: 3. The angle of elevation to the top of a very tall building is found to be 7° from the ground a…

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Q: Please help me salve

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Q: 1. A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an…

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Q: 2. A 21-ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: 5. Find the measure of the angle of elevation of the sun when a boy 5 feet tall casts a shadow 5…

A: First draw the diagrams depicting the scenarios. Then, use the trigonometric ratios to find the…

Q: Atunnel under a river is 197.3 ft below the surface at its lowest point, as shown in the drawing. If…

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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: 1. The angle of elevation to the top of the Empire State Building in New York is found to be 11°…

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Q: 2. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

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

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Q: Two pieces of steel angle are welded to form right angles. The lengths of the two pieces are 6.0 ft…

A: According to the question, the distance between the two unwelded ends represents the hypotenuse of…

Q: In order to find the height of a pyramid, a scientist measures the angle of elevation between…

A:

Q: In a right triangle, angle φ has a tangent value 1.40. The side adjacent to angle φ has a length of…

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Q: 10) A radio station tower was built in two sections. From a point 87 feet from the base of the…

A: I have provided solution in step2 .

Q: 11) From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top…

A: Given,

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

A:

Q: 6. In order to meet safety guidelines, a roof contractor must place the base of the ladder at a…

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.