he angle of elevation from a viewer to the top of a flagpole is 50°. The viewer is 80 ft away and the viewer's eyes are 5.5 ft from the ground. How migh is the pole to the nearest tenth of a foot?

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

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

A:

Q: The angle of elevation from point A to the top of a hill is 49 If point A is 400 feet from the base…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: To estimate the height of a tree to people position himself 35 feet apart. From the first person,…

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

A: Given that, there is a triangle with angle A which is complement of 52 degree   A = 90-52 = 38…

Q: Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

A:

Q: Kiato is on top of a 200 ft. lighthouse. The angle of depression to a ship on the ocean is 20°. How…

A:

Q: From the top of a lighthouse 57 feet​ high, the angle of depression to a small boat is 41.8979°. The…

A:

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

A:

Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

A:

Q: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

Q: The Sibago Island lighthouse in Zamboanga stands on a rock 163.4 meters above sea level. A man in…

A: A

Q: 31. The angle of elevation from the control tower to an airplane is 49°. The airplane is flying at…

A:

Q: A student measures the length of the shadow of the Washington Monument to be 620ft. If the Monument…

A:

Q: 1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How…

A: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°.How far…

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

A:

Q: -) The angle of elevation to the sun is 30°. What is the length of the shadow cast by a person 1.8…

A: The explanation of the solution as follows:

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

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

A: Given angle of elevation of woman to see the top of building from ground floor = 55°. She rides…

Q: A water tower is located 325ft from a building. From a window on the 10th floor, the angle of…

A: As given in the question distance of water tower is 325 ft from building, the angle of elevation to…

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

A:

Q: Zaidah is flying a kite at an angle of elevation of 67° from a point on the ground. If 100 ft of…

A: Here the angle of elevation from the ground is 67∘

Q: at is the horizontal distance from the base of t

A: Given: From the observation deck of a skyscraper, Isabella measures a 67o angle of depression to a…

Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

A:

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

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 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: A football lands at the edge of the roof of your school building. When you are 25 feet from the base…

A:

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

A: Let 'x' be the length of the building from three floors The full length of the building across the…

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A: let height of center of display is h

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

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

A: Given  Angle of elevation from ground floor to top of the building = 49° Angle of elevation from…

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

A:

Q: From a window 33.0 ft above the​ street, the angle of elevation to the top of the building across…

A:

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

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

A: Refer the figure that illustrates the given information

Q: player is

A:

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

A:

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

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 damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

A:

Q: From the top of a tower 60 ft highthe angle of depression to an object on the ground is 35 degrees.…

A:

Q: 11) From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top…

A: Given,

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

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.