The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 29.2º. Find the length of the tower to the nearest meter.

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: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

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: A surveyor is standing 50 feet from the base of te tree. The surveyor measures the angle of…

A:

Q: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

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

A:

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° ground. What's the…

A: Given query is to find the distance between base of the ladder and the wall.

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 woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A ship's sonar locates wreckage at a 15 degrees angle of depression below the water, as pictured. A…

A: Given: A ship sonar locates wreckage at a 15° angle of depression below the waterA diver is lowered…

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: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

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: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

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

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

A:

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

Q: A plane departs from Brisbane and travels 1320km on a bearing of 133 degrees where it lands in…

A: to determine the required distances based on the given data

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

A:

Q: A person standing at a point some distance away from the base of an antenna tower measures the angle…

A:

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: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Draw the situation using right triangles and use trigonometric ratios.

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: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

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

A:

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

A:

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

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

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 tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

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: The angle of elevation from level ground to the top of a building 12m away is 38 degrees. How tall…

A: We have to find the height of the building.  For this we can take tan(38) in given triangle

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

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 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: A curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

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: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

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.