From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°. Approximate the height of the tower to the nearest foot.

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

A:

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

A:

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

A:

Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

Q: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

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: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

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

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

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

A:

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

A:

Q: the height of the antenn

A:

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

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

A:

Q: The height of a tree is 70 meters. To the nearest degree, what is the angle of elevation of the sun…

A: The sides and the angles of a triangle are related by trigonometric functions. Trigonometric…

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

A:

Q: The angle of elevation to the top of a building from a point on the ground is 22°. If the building…

A:

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

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: 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: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

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

A:

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: 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 a point on level ground 125 feet from the base of a tower, the angle ofelevation is 57.2°.…

A: let a represents the height of the tower. In the right triangle, we have a known angle, an unknown…

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

A:

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

A:

Q: The angle of elevation of the top of a flagpole from a point on the ground 30 m from the base of the…

A:

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

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 monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

A:

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

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 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: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

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

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: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

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: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.