What is the angle of elevation from the base to the top of the mountain?

Q: Suppose you know that a building has a height of 540 feet and when you stand a distance away from…

A:

Q: A person is standing 30 meters from a traffic light. If the angle of elevation from the person's…

A: Given that, A person is standing 30 meters from the traffic light, and angle of elevation from…

Q: An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m…

A: Given:     To determine: length of AB

Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: The tallest television transmitting tower in the world is in North Dakota. From a point on level…

A: The given information can be diagrammatically represented as shown below:

Q: A man is standing in front of a wall and looking at its topmost point. If the angle of elevation is…

A: Draw a diagram depicting the scenario. Use the tangent ratio to determine the distance .

Q: There is a lightning rod on the top of a building. From a location 250 feet from the base of the…

A: 250 feet from the base of the building, the angle of elevation to the top of the building is…

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: Given, A survey team is estimating the height of mountain We have to find the height of mountain…

Q: How tall is a building if you are 100 feet from the base and the angle of elevation is 60°

A: Tanθ = PB where P is perpendicular or height of the triangle and B is base of a triangle.

Q: The angle of elevation from Mindy to a cell phone tower is 75°. If Mindy is standing 28 feet from…

A: M → Mindy         TD → Tower ,          ∠ TMD  = 75°  ,       MD = 28 ft .

Q: You are skiing down a mountain with a vertical height of 550 feet. The distance from the top of the…

A: to find :-  Angle of elevation. concept :- Right angle triangle property.

Q: The length of a shadow of a tree is 165 feet when the angle of elevation of the sun is 15°.…

A:

Q: You are skiing down a mountain with a vertical height of 1200 feet. The distance from the top of the…

A: We will solve the following.

Q: The shadow of a 60 foot tall pole is 100 feet long. What is the angle of elevation from the end of…

A:

Q: You are skiing down a mountain with a vertical height of 1250 feet. The distance from the top of the…

A: Let angle of elevation be x Height= Opposite(O) = 1250 ft Hypotenuse(H)= 2500 ft

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: We use Trigonometry ratios

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: Given the data:

Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: The Washington Monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet,…

A: Given Height of monument (H) = 555 ft Distance between monument's base and you = 1320 ft

Q: Explain the difference between an angle of elevation and an angle of depression

A: Explain the difference between an angle of elevation and an angle of depression.

Q: You are skiing down a mountain with a vertical height of 1245 feet. The distance from the top of the…

A: From the trigonometric ratios we know that Sinθ=HeightHypotenus

Q: 120-foot guy wire is attached to the top of an antenna. The angle between the guy wire and the…

A:

Q: Disney’s Tower of Terror ride in Disney World, Florida is 215 feet tall. If Josh is standing 120…

A:

Q: If you stood 52 feet from the base of the object what would be the angle of elevation from eye…

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

A:

Q: Isabela standing 180 ft from a pole. The angle of elevation of its top is 20°. If her line of sight…

A: Here we will find height of pole from ground,

Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: The shadow of a man is 10 feet long when the angle of elevation of the sun is 30.5°. Determine the…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: The line drawn from the eye of the observer to the distant point  where the observer is looking is…

Q: A fire hydrant sits 72 feet from the base of a 125 foot tall building. Find the angle of elevation…

A: If BC is building and fire hydrant is at point A . Given that a fire hydrant sites 72 feet from base…

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A:

Q: Ericka standing 140 meters from the base of a building, observes that the angle of elevation of the…

A:

Q: A boy visiting New York City views the Empire State building from a point on the ground, A, which is…

A: Explanation and solutions is given below....

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A:

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A: Given query is to find the height of the building.

Q: A large rock is on the edge of a cliff. From a point 310m from foot of the cliff, the angles of…

A: A large rock is on the edge of a cliff. From a point 310m from foot of the cliff, the angles of…

Q: The shadow of a vertical tower is 79.0 ft long when the angle of elevation of the sun is 31.0°.…

A: In the given question height of tower is asked. Given: Length of shadow is 79 ft. Angle of…

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

Q: 90-foot tall building has a shadow that is 2 feet long. What is the angle of elevation of the sun?

A: We have to find the angle of elevation

Q: You are standing 42 meters from the base of a building. You estimate that the angle of elevation to…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of the…

A: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A: consider the figure as follows  Let h be the height of the building  consider triangle ABD tan…

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.