A person is standing 150 feet away from a building and is looking up at the top of a 87 foot building find the angle of elevatio

Q: 2) While travelling across flat land, you notice a mountain directly in front of you. Its angle of…

A: Here we use the concept of trigonometric ratio

Q: Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the…

A: let AB be the TreeThen tan 35°=ABBCtan 35°=AB30

Q: a man is standing near a radio station antenna observes that the top of the antenna is 54°. walks 60…

A:

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

A:

Q: A boy flying a kite is standing 30 m from a point directly under the kite. Is the kite's string is…

A: The given situation can be given in the figure below;

Q: A hot air balloon is attached to a tether rope tied to a truck. The rope is stretched out to 100…

A:

Q: HILLS The length of a hill in your neighborhood is 2000 feet. The height of the hill is 750 feet.…

A: Here we have been given that the length of a hill in the neighborhood is2000 feet. Also, the height…

Q: Watering a Lawn A water sprinkler sprays water over adistance of 30 feet while rotating through an…

A: θ=135°  &  r=30 Now area of the sector is, A=θ360°·πr2=135°360°·π302=1060.2875  ft2

Q: You are climbing a mountain by the steepest route at a slope of 25∘ when you come upon a trail…

A: The steepest route at a slope of 25°.Then we start the branch trail, the angle is 45°

Q: A plane is flying at an elevation of 32000 feet. It is within sight of the airport and the pilot…

A: In given figure, let P be the point in the air where the plane is at an elevation of 32000 feet from…

Q: Sighting the top of a building, a surveyor measured the angle of elevation tobe 22°. The transit is…

A:

Q: A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water…

A:

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

Q: A tree is observed on the opposite bank of a river. At a point the river is known to be 120 feet…

A:

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: A man standing in a lighthouse tower spots a ship at sea. The lighthouse tower is 30 feet tall, and…

A:

Q: a road has a 10% grade a. what is the angle of elevation of the road? b. if the road is 2 km long…

A:

Q: 9.8 ft 59°

A:

Q: A tree is observed on the opposite bank of a river. At that point the river is known to be 140 feet…

A:

Q: Height of a Hill A road up a hill makes an angle of 5 degree with the horizontal. If theroad from…

A:

Q: A man wants to know the height of the tower. What he did was from point A on the ground he observed…

A: A man wants to know the height of the tower. What he did was from point A on the ground he…

Q: 12-meter high post casts a 19-meter shadow. Find the angle of elevation to the sun.

A: Given query is to find angel of elevation to the sun

Q: A truck is moving north at a speed of 70km/hr. The exhaust pipe above the truck cab sends out a…

A: Given :  A truck is moving north at a speed of 70km/hr. The exhaust pipe above the truck cab sends…

Q: A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground…

A:

Q: plane rises from take-off and flies at an angle of 6° with the horizontal runway. When it has gained…

A:

Q: A tree grows at an angle of 4 degrees from the vertical due to prevailing winds. At a point 40…

A:

Q: A police helicopter is flying at 800 feet. A stolen car is sighted at an angle of depression of 72°.…

A: As angle PAC = 72 degree Hence angle BAC = 90-72 = 18 degree

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: a water tower 30 m tall is loacated at the top of a hill. From a distance of D = 120 m down the hill…

A: angle of inclination of the hill is 48.18° detailed solution is given below

Q: bird

A:

Q: You are climbing a mountain by the steepest route at a slope of 30° when you come upon a trail…

A:

Q: the angle between an observer's line of sight and a horizontal line Find the angle of depression of…

A: 1) To write the angle between observer's line of sight and horizontal line

Q: A truck travels 12 km up a mountain road. The change in height from the bottom to the top is 732 m.…

A: topic - trigonometric ratios

Q: Johnathon saw an eagle in a tree. The tree is 54 m away, and the angle of elevation to the eagle is…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: Firefighting A firefighter on the ground sees fire break through a window near the top of the…

A: Angle of elevation to the windowsill is 28° angle of elevation to the top of the building is 42°…

Q: There is lightning rod on the top of a building. From a location 500 feet from the base of the…

A: The given information can be represented in the below figure.

Q: A 40 meters high tower stands vertically on a hillside (sloping ground) which makes an angle of 18°…

A: T is the height of the tower.x is the horizontal distance between the tower and the tree.a is the…

Q: Jack is using a ladder to hang lights upon his house. He places the ladder 5 feet from the base of…

A: The angle of elevation is defined as the angle made by the line of sight to a point above the ground…

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: A person is standing 75 feet from a church that is 180 feet tall. The person looks up at the top of…

A:

Q: When the top of a certain skyscraper is viewed from the top of the 50 foot building the angle of…

A: a) Let the height of the building is=50 feet. The angle of elevation from the building is 59°The…

Q: 17. You are lost at sea. A helicopter has come to rescue you. The helicopter is flying at a height…

A: Introduction: The angle of depression and the angle of elevation are related to trigonometry. When a…

Q: A plane rises from take-off and flies at an angle of 9° with the horizontal runway. When it has…

A: Use trigonometric ratios.sinθ = PerpendicularHypotenuse

Q: A plane is flying at an elevation of 33000 feet It is within sight of the airport and the pilot…

A:

Q: 17. HILLS The length of a hill in your neighborhood is 2000 feet. The height of the hill is 750…

A: This is the given figure First, we will label it We have to find the angle of elevation of the hill…

Q: An airplane leaves the runway climbing at an angle of 18° with a speed of 275 feet per second. Find…

A: the speed of the airplane is given 275 feet/sec and we have to find the altitude of the plane after…

Q: A plane is flying at an elevation of 32000 feet. It is within sight of the airport and the pilot…

A: Now we will solve the problem using pythagoras theorem.

Q: In traveling across flat land, you notice a mountain directly in front of you. Its angle of…

A:

Q: A water tower 30 m tall is located at the top of a hill. From a distance of 120m down the hill, it…

A: The given information can be represented in the following figure.

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.