A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the foot, measured straight down the hill, the tower subtends an angle of 25 degrees. what angle does the side of the hill make with the horizontal

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

A: We have to find the height of stone face.

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

A:

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 inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6…

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is…

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: A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the…

A:

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: 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 tree that is leaning towards the sun at an angle of 150 is to be measured. A…

A: Sine law: The rule of sines is the ratio of side length to the sine of the opposite angle. It holds…

Q: A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the…

A: Let, B=balloon M=man W=woman D=perpendicular base of the balloon   We have to find BD.

Q: the angle of elevation from point a to the top of the tower is 32.1 degrees. From point b, which is…

A: The given information is shown in the following figure.

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

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

A:

Q: A 30-foot steel girder is leaning against a wall. The foot of the girder is 20 feet from the wall.…

A: Let AB be the ladder and BC be the wall. Let θ be the angle grider make with ground. Note that,…

Q: A passenger on a plane saw an island below him. If the altitude of the plane 2500 meters above the…

A: A passenger on a plane saw an island below him.The altitude of the plane 2500 meters above the…

Q: A student is standing on a 27 m diving platform from the ground. On the ground, their coach is on…

A: Ans =52.1999 m  For detail....go through the solution

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

A:

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

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

A:

Q: From a point on the floor the angle of elevation to the top of a door is 48 degree while the angle…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18…

A:

Q: At a certain time of day, The angle of elevation of the sun is 62 degrees. To The nearest foot, Find…

A: To find -height of pole.

Q: A 28 ft ladder leans against a building so that the angle between the ground and the ladder is 78…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

Q: Two trains leave a station at the same time on straight sections of track which form   an angle of…

A:

Q: A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A:

Q: A walkway with a length of 18 meters connects the ground and the entryway of a building. If the…

A: Given,          A walkway with the length of 18m connects the ground and the entryway of a building.…

Q: A television tower is on top of a building. From point A on the ground, the angle of elevation of…

A:

Q: A pole is supported by two guy wires stretched out on opposite directions. The angle between the…

A: This question can be solved using the concept of sine rule.

Q: wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground. If the…

A: Based on the information given in the problem, you can draw a right triangle like the one shown…

Q: triangular lot have lengths 60 feet and 150 feet, and the angle between the two measured sides is…

A:

Q: An 18-foot ladder leans against a wall so that the base of the ladder is 10 feet from the base of…

A:

Q: From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the…

A:

Q: A plane is 3 miles above the ground, 15 miles from its destination. What is the angle of elevation…

A: Use height and distance concept Use sin theta

Q: An observer stands an unknown distance away from a building that is 80 feet tall. Looking up to the…

A: Given that building height is 80ft. And elevation angle is 52° and we find the distance from the…

Q: From one point on the ground the angle of elevation to the top of a building is 35. While 100 feet…

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: A hot air balloon flies directly above a straight 5 mile road that connected two towns. The pilot…

A: For the given angle 35 and 31 degree and 5 miles road  height of the balloon from  the ground is…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Given that:

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Given:    Angles : 83.2° and 86.4°     Distance = 55

Q: Two vertical poles, A and B, cast shadows on the ground with lengths of 12 and 25m respectively. If…

A: From the given problem the representative diagram is as shown below: Let the height of pole A is y…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Let h be the height from the ground at the point P on the ground from 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.