At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°. Find the height of the tower to the nearest mile.

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: From the top of a 187-ft lighthouse, the angle of depression 2 to a ship in the ocean is 15°. How…

A: Given,          From the top of a 187- ft lighthouse. the angle of depression to a ship          in…

Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

A:

Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

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Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

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

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

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: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

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Q: The angle elevation to the top building in Chicago is found to be 9 degrees from the ground at a…

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Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

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 radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We have given angle of depression= 40°  Tower height= 45 feet  Find distance of partner from the…

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

A:

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 a point on level ground 30 yards from the base of a building, the angle of elevation is 38.7°.…

A:

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

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 lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: The angle of elevation is degrees (to the nearest degree)

A:

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

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

A: We can find the answer as below

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: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: A 300-foot tall monument is located in the distance. From a window in a building, a person…

A:

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A:

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

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: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

A:

Q: The angle between the bottom of the fence and the top of the tree is 75 degrees. The tree is four…

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

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

A:

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

A:

Q: The angle of elevation to the top of a flagpole is 40° from a point 30 meters away from the base of…

A: Let the height of the flagpole be h. In a right angled triangle, the tangent of an angle(other than…

Q: The angle of elevation to the top of a building from a point on the ground is 24° . If the building…

A:

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: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

A:

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

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

A: Answer is in below step

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

A:

Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

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.