A wind-swept tree grows at an angle of 85°. Bailee wants to know the height of the tree. She walks 50 m from the tree and measures an angle of 40° to the top of the tree. How tall is the tree, to the nearest metre? 40° 50 m

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: from a hot air balloon 2 km high, a person look east sees one town with angle of depression of 12…

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top 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: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 feet of string have been…

A:

Q: A radio tower is located 500 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given, To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at…

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from…

A:

Q: A building is 429 feet tall and is positioned 900 feet inland from the shore. A person in a boat in…

A: According to questionA building is 429 feet tall and is positioned 900 feet inland from the Shore.…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A: Given information can be depicted in the following figure:

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

A:

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: Given: A radio tower is located 400 feet from a building. From a window in the building, a person…

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

A:

Q: A radio tower is located 250 feet from a building. From a window in the building, a person…

A: Topic:- trigonometry in right angle triangle

Q: a smokestack is 190 ft high. a guy wire must be fastened to the stack, 30.0 ft from the top the guy…

A: Answer is mentioned below

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: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: You are standing 15 feet away from a tree, and you measure the angle of elevation to be 35∘. How…

A:

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: Solve for the height of the tower

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: ∴Height of tower is x+yAM=425 ftIn ∆ADM ;tan40°=x425x=425 x tan 40°∴x=356.617 ft

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

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

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: Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A: Given, Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft…

Q: A surveyor measures the top of a building 50 feet away from him. His angle measuring device is 4…

A: The diagrammatic representation of the given data is,

Q: A hot-air balloon is flying at an altitude of 2540 feet. If the angle of depression from the pilot…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

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: A radio transmission tower is 319 feet tall. A guy wire is to be attached 6 feet from the top and is…

A:

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

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

A:

Q: . A kite is flying at an angle of elevation of 67° with the ground. If 100 feet of string have been…

A: Given:                         To determine:                           Value of AC:=?

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

A:

Q: A radio tower is located 250 feet from a building. From a window in the building, a person…

A:

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

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: A hot-air balloon is flying at an altitude of 2975 feet. If the angle of depression from the pilot…

A:

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

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.