Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 100 m downhill from the base of the tower. The angle ∝ in the figure is determined to be 12° . Find the length of cable required for the guy wire.

Q: angles elevation to the top og the builing from a point on the round 50 yards from its base is 50…

A: First draw a rough sketch of the building with height h and the elevation angle of 50 degree as…

Q: angle of elevation from point A on the ground to the top of a 225-foot cell phone tower is 65°.…

A:

Q: he angle of a depress from a lighthouse to a boat in the water 14 degrees. If the boat is 532 feet…

A:

Q: The angle of depression from one side of a lake, measured from a kite 2500 ft. above the lake is 43…

A: Given : The angle of depression from one side of a lake, measured from a kite 2500 ft. above the…

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 71°, and the top…

A: The angle of elevation of the ladder (say o ) = 71° distance between top of the ladder above the…

Q: Height of a building From a point A that is 8.20 meters above level ground, the angle of elevation…

A: The point A is 8.20 m above the ground level. Let PQ be the building. A rough sketch for the…

Q: A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the…

A:

Q: 8. A ship is sailing toward a 50-m tall lighthouse. The angle of elevation from the ship to the top…

A:

Q: A surveyor is 100 meters from a building. The angle of elevation to the top of the building is 23°.…

A: Given a surveyor is 100 meters from the building and the angle of elevation to the top of the…

Q: 12. A tower is located 327 feet from a building in the figure shown below. A person from the second…

A: In the question it is asked to calculate height of tower from the building with angle of elevation…

Q: Height of a Building The angle of elevation to the top of theEmpire State Building in New York is…

A: Suppose that: The height of the Empire State Building = x                         Note: 1 mi = 5280…

Q: 9.8 ft 59°

A:

Q: 9. Leaning Ladder A 20-ft ladder is leaning against a building.If the base of the ladder is 6 ft…

A: The length of ladder is 20ft Base of building is 6ft away from building To find angle of elevation…

Q: As shown in the figure below, Jane is standing 91 feet from the base of a leaning tree. The tree is…

A:

Q: 43 1000 Tis

A: Given, the altitude of the helicopter = 1000 ft height of the mountain =5210 ft  the angle of…

Q: From the top of a lighthouse 18m high, the angle of depression to sight a boat is 4°. What is the…

A: Here we have use the concept of trigonometric ratio

Q: 8. An airplane is approaching Seattle international airport. The pilot begins a 13 degree angle of…

A: We have to find distance between airoplane and airport.

Q: 9). . building from a point on the ground is 37°. If the building is 230 meters tall, how far, to…

A:

Q: Radio antenna A guy wire is attached to the top of a radio antenna and to a point on horizontal…

A: A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that is…

Q: A telephone pole is 60 feet tall. A guy wire 75 feet long is attached from the ground to the top of…

A: The telephone pole is 60 feet tall. A guy were 75 feet long is attached from the ground to the top…

Q: 5. Richard is flying a kite. The kite string has an angle of elevation of 57. Ir Richard is standing…

A: Topic = Trigonometry

Q: A kite string is 200 meters long. Find the height of the kite if the string makes an angle of…

A:

Q: Hot-Air Balloon While taking a ride in a hot-air balloon inNapa Valley, Francisco wonders how high…

A: Let the position of the balloon be C and the point at 100 ft be  A. Let the landmark be B and the…

Q: An airplane is flying at a altitude of 6000m. The angle of depression from the airplane to the…

A: Direct distance between airplane and airport is 6.2 km.

Q: A tower is on the top of a hill. It is 1900 feet from an observer to a point directly under the…

A: A rough sketch of the given problem is as follows:

Q: 14 A helicopter pilot sights a landmark at an angle of depression of 28°. The altitude of the…

A: Let ABC be a triangle where the base is BC and perpendicular is AB and . Then according to…

Q: Radio Antenna: A guy wire is attached to the top of a radio antenna and to a point on horizontal…

A:

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: from the top of an apartment building the angle of depression to a car parked on the street below is…

A: By the given information we can construct triangle as below : Given Data : AB=90 feet∠CAD=32°

Q: A tower leans at an angle of about 84.7°. The figure shows that 182 feet from the base of the tower,…

A: To find the distance

Q: A flagpole is situated on top of a building. The angle of elevation from a point on level ground 330…

A: The figure is drawn below. Trigonometric ratios can be used to find the height of the flagpole. From…

Q: 3. The top of the Leaning Tower of Lisa is now only 100 feet from the ground, measuring vertically.…

A:

Q: 2. A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find…

A: 2) The given problem will be solved by using Trigonometric Ratios

Q: A ranger is at the top of a 200 foot lookout tower located on a flat plain. She spots a fire at an…

A:

Q: A plane rises from take- off and flies at an angle of 8° with the horizontal runway. When it has…

A: Given that a plane rises from take- off and flies at an angle of 8° with the horizontal runway when…

Q: Maria is standing in her bedroom and looking out at a tree outside her window. The tree is 20 ft…

A: Given, Maria is standing in her bedroom and looking out at a tree outside her window.  The tree is…

Q: 55 A woman looks down from a hot air balloon. She sees a sheep below and measures the angle of…

A: Consider the given information We have to find DC.

Q: Airplane landing A pilot, flying at an altitude of 5000 feet, wishes to approach the numbers on a…

A: A pilot , flying at an altitude of 5000 ft, wishes to approach the numbers on a runway at an angle…

Q: A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground.…

A: Given that a 15 ft ladder leans against side of a house. The top of the ladder is 13 ft off the…

Q: 22. A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet…

A: Aim: To find  ∠ABC OR ∠θ.   Given: Length of ladder = 22 foot The bottom of the ladder is 3ft from…

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

Q: Diameter of the Sun If the distance to the sun is approximately 93 million miles, and, from the…

A: Given: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun…

Q: You are standing at the peak of a 1500 meter mountain. You look down below and spot the tent you are…

A: Let A be the peak of mountain, Let the tent is at C

Q: Distance to Mt. Fuji The peak of Mt. Fuji in Japan is ap- proximately 12,400 feet high. A…

A:

Q: A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder…

A:

Q: o measure the height of the cloud cover at an airport, a worker shines a powerful spotlight upward…

A: To measure the height of the cloud cover at an airport, a worker shinesa powerful spotlight upward…

Q: An airplane is flying at an altitude of 6000 m. The angle of depression from the airplane to the…

A:

Q: A person stands at the window of a building so that his eyes are 12.6m above the level ground. An…

A:

Q: a ladder leans against the side of the house. The angle of elevation of the ladder is 67 degrees,…

A:

Q: 13) A20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58° with the…

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.