Firefighting A firefighter on the ground sees fire break through a window near the top of the building. The angle of elevation to the windowsill is 28°. The angle of elevation to the top of the building is 42°. The firefighter is 75 ft from the building and her eyes are 5 ft above the ground. What roof-to-windowsill distance can she report by radio to firefighters on the roof? 42 28 75 ft

Q: 12. Firefighting A firefighter on the ground sees fire break through a window near the top of the…

A: We have to find roof-to-windowsill distance can she report by radio to firefighters on the roof .

Q: surveyor takes the measurements a=70 feet, b=80  feet, and c=45 feet. Find the measurement of the…

A: We have to find the angle

Q: Height A football lands at the edge of the roofof your school building. When you are 25 feet fromthe…

A: Draw a diagram:   From the diagram, you have the sides opposite and adjacent to the angle so use…

Q: 9. Nat is flying a kite outside but gets a little hungry. They anchor the kite to the ground by…

A:

Q: A 48-foot building casts a shadow 72 feet measured along the ground. What is the angle of the sun's…

A: 3.1 :

Q: you are standing 50 meters from a tall building. The angle of elevation from your feet to the top of…

A: topic - angles and triangles

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 wind-swept tree grows at an angle of 85°. Bailee wants to know the height of the tree. She walks…

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Sam is framing a closet under a stairway. The stairway is 18 ft in 3 in. Long, and its angle of…

A:

Q: I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top…

A: I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top…

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: You are flying a kite outside on a windy day. You have 80 foot string and are flying your kite at an…

A: SOLUTION-

Q: You are hiking along a river and see a tall tree on the opposite bank. You measure the angle of…

A:

Q: An archaeological team is excavating artifacts from a sunken merchant ship on the ocean floor. To…

A:

Q: Sam is framing a closet under a stairway. The stairway is 17 ft 6 in. long, and its angle of…

A: We use perpendicular /hypotenuse=sin and solve the question. See 2nd step.

Q: A little old man sailing his boat to get to the island. The Line of sight from the island to the…

A: Here we find the height of island.

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

Q: The angle of elevation from a point on the ground to the top of a pyramid is 32°30​'  The angle of…

A: The given information can be represented by the following figure. Let AB be the pyramid with height…

Q: Mariela is standing in a building and looking out of a window at a tree. The tree is 20 feet away…

A: We can find the height of tree as below

Q: A water tower is located 325 ft from a building. From a window in the building, an observer notes…

A:

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: Mariela is standing in a building and looking out of a window at a tree. The tree is 20 feet away…

A:

Q: A fireman spots a stranded woman in the window of a 200-foot tall office building. From the point…

A: Given that a fireman spots a stranded women in the window of a 200 foot tall office building. From…

Q: Jen is standing on top of the school taking measurements for a trig problem. Her angle of depression…

A:

Q: Nick stands 23 feet away from a highway sign and measures the angle of elevation to its top to be 60…

A: By using properties of triangle and trigonometric ratio.

Q: A surveyor measures the top of a lighthouse 70 ft. Away from him. His angle-measuring device is 4…

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: This question is from trigonometry.

Q: A surveyor measuring the tallest tree in a park is 100 feet from the tree. His angle measuring…

A: We sketch the situation roughly.  AC= tallest tree, D= angle measuring device  Given, DE=5, BD= 100…

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

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: 39. Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the…

A: Let the angle for elevation for Vera be x deg.AB is the height of the pole.D is the point where Alex…

Q: 990 d A boy visiting New york city views the A Empire State building from a pointo on the ground, A,…

A:

Q: Violet is standing next to a stream that flows under a bridge. The height of a tower holds the…

A: Given query is to find the angle between ground and top of the tower

Q: A tower is 79 meters high. At a bench, an observer notices the angle of elevation to the top of the…

A: A tower is 79 meters high. At a bench, an observer notices the angle of elevation to the top of the…

Q: From a boat on the river below a dam, the angle of elevation to the top of the dam is 34°32'. If the…

A:

Q: The angle of elevation from a point on the ground to the top of a tower is 38° 41'. The angle of…

A:

Q: 11. Reed is trying to find the height of a building. From one position the angle of elevation from…

A:

Q: Meteorology A meteorologist measures the angle of elevation of a weather balloon as 41°. A radio…

A:

Q: Tasha wants to measure the height of a tree that grows at an angle of 85∘with respect to the ground.…

A: Tasha wants to measure the height of a tree that grows at an angle of 85∘with respect to the ground.

Q: From the top of a building 70 feet, high, the angle of elevation of the top of a vertical pole is 18…

A:

Q: 8. Sharon is bird watching and spots an eagle in a tree. When standing 40 meters from the base of…

A: We will plot the diagram first so that we can find the value of the unknown quantity. Let A,B,O be…

Q: A bird is flying at an altitude of 400 feet and descending to its nest located in a tree 20 feet…

A:

Q: A surveyor who is measuring the tallest tree in a park is 175 ft from the tree. His angle-measuring…

A:

Q: Determine the length (in feet) of the arc (AB) if the diameter of the circle is 10 feet and the…

A:

Q: ovan is a firefighter who has been called to rescue a cat that is stuck in a tree. He has a 25-foot…

A:

Q: You look up at a 55 degree angle to see the top of a building the distance from you to the building…

A:

Q: How tall is the building across the street? (Round to the nearest foot.)

A: Follow the procedure given below.

Q: Matthew successfully built his zip line (yay!) to the top of his roof so his neighbor asked him to…

A:

Q: A radio tower is located 450 feet from a building. From a window in the building, a person…

A:

Q: 3. An observer in the street notes that the angle of elevation to the top of the building is 44°…

A: First we draw a diagram. Let AB is the height of the building.  First we use triangle ABC then we…

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.