The shadow of a vertical tower is 76.0 ft long when the angle of elevation of the sun is 36.0°. Find the height of the tower. The tower is ft tall. (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)

Q: Find the angle in degrees, rounded to one decimal.

A: This question is taken from trigonometry in which we have to find the angel of the right angle…

Q: .Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.9. (Round…

A: We use Cosine formula to calculate the angle θ.

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 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

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Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

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Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.8. (Round…

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Q: From a point on the ground 13 feet from the base of a flagpole, the angle of elevation to the top of…

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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 lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

A:

Q: From a hot-air balloon, Addison measures a 27∘∘ angle of depression to a landmark that’s 989 feet…

A: given: From a hot-air balloon, Addison measures a angle of depression to a landmark that’s 989 feet…

Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

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

A:

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

A:

Q: What is the meaning of “an angle with measure 2 radians”?

A: Our Aim is to tell the meaning of "an angle with measure 2 radians".

Q: A child is enjoying a Saturday afternoon flying a kite. While holding the string 4 feet above the…

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Q: the length of the shadow of a building 34.09m tall is 37.62m. Find the angle of elevation of the sun…

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Q: A person standing 376 feet from the base of a church observed the angle of elevation to the church's…

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Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

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Q: A surveyor standing 50 feet from the base of a large tree measures the angle as 78.9°. How…

A: The height of the tree can be obtained using trigonometric ratios.  let the height be x feet, the…

Q: From the top of a tower 23 m high, a princess looks down at an angle of depression of 70 degrees.…

A: here we need to find the distance bc and ac. the solutio is following.

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: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

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Q: A 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

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Q: A2: From a theodolite platform at an elevation of 83.69m above sea level, the top of a mountain…

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Q: Find the angle of depression from the top of a lighthouse 400 feet above water level to the water…

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Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: What is the arc length? (round to the nearest foot) 11 ft 315°

A: Let the radius of circle be r=11 ft, angle subtended by arc at center be θ=315° Let arc length be l.

Q: A building 34.65 feet tall has a shadow that is 38.65 feet long. Find the angle of elevation of the…

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Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

Q: A 84-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: A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground.…

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: A person standing 164 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: The peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several…

A: The height of the peak is 12,400 feet.

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: If the angle of elevation of the sun is 75° 30', how tall is a post that casts a shadow 1.1 feet…

A: 30' = 0.5 degree

Q: What is the angle of elevation of the sun when a 40-ft mast casts a 22 ft shadow? 40 ft 22 ft - ...…

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Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

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Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

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: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: Given that:

Q: Draw a triangle that would be used together with the substitution x = 3 sec θ.

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.