3. While traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 2.5°. After you drive 11 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. (Round your answer to three decimal places.) Not drawn to scale

Q: 37. When her airplane is descending to land, the pilot notes an angle of depression of 5°. If the…

A: We have, the pilot note an angle of depression of 5° if the altimeter shows an altitude of 120 ft.…

Q: The angles of elevation to a weather balloon from two points, A and B, on the ground are 37° and…

A:

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Solution: The objective is to determine how far from the base of the tree am I.

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We will use trigonometric ratios to find the answer

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L= 2000 feet apart. As the…

A: ccording to question given thatL=2000 feetA=50°B=45°

Q: Suppose the figure below is an exaggerated diagram of a plane flying above the earth. The plane is…

A: Let O be the radius of the circle and AC=x Now,  AB is 5.05 mi and radius of earth OB is 4000 mi.…

Q: - An airplane begins its descent with an average speed of 240 mph at an angle of depression of 4°.…

A: Given: Average speed of 240 mph at angle of depression of 4 degree To find how much altitude will…

Q: Find the length of an arc that subtends a central angle of 45° in a circle of radius 26 m. (Round…

A: We will find the length of arc in the following step.

Q: An airplane climbs at an angle of 32° at an average speed of 610 mph. How long will it take for the…

A: airplane climbs at at angle 32 degrees average speed = 610 mph altitude= 3.2 mil

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 7 minutes (1…

A:

Q: A lighthouse is on a cliff that is 51 m above sea level. The light house is there to warn boats of…

A: A lighthouse is on a cliff that is 51 m above sea level. The light house is there to warn boats of…

Q: Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Draw a schematic diagram of a give question. Given data, Height of tree, AB = 370 ft C is the point…

Q: A sector of area 2π/3 square inches is formed by a central angle of 30°. What is the radius of the…

A:

Q: Find the approximate value of the smaller angle formed between the liney = of the x-axis. Give the…

A: here we have to find the smaller angle formed between the line y=712x and the positive pat of the…

Q: The designers of a water park are creating a new slide and have sketched some preliminary drawings.…

A: We have givenLength of ladder, l = 45ftAngle of elevation, θ = 60º

Q: Solve please

A:

Q: You are in a tall building and from your window, you notice a window washer working on the building…

A:

Q: A 12 -foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 3…

A:

Q: 31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Given that, An airplane is flying at an altitude of 6000 m over the occan directly toward a…

Q: 2. From an angle of depression of 40°, John watches his friend approach his building while standing…

A:

Q: A 14-ft ladder leans against the side of a house. The angle of elevation of the ladder is 63°. How…

A: Given, Hypotenuse (h)=14 Angle of evaluation (θ)=630 Height (h)=?

Q: A golfer hits a golf ball at an angle of ?=25? with initial velocity ?=180 ft/s. (a) Estimate Δ? if…

A: Given: The given angle θ=25° and  V=180 ft/s.

Q: 5/7.1/// On a circle of radius 8 feet, give the degree measure of the angle that would subtend an…

A: Here we have to find the angle.

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: 4. From a window 30.0 ft above the street, the an- gle of elevation to the top of the building…

A: Given figure, According to the given figure, AB = 30 ft ∠ACB=20°∠DCB=50°

Q: A woman standing on a hill sees a flagpole that she knows is 40 ft tall. The angle of depression to…

A: Consider above diagramLH represents the hill and L is position of women.FP represents flagpole of…

Q: A boat is approaching a cliff known to be 40 m tall. If the angle of elevation from the boat is 30°,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 8. From an airplane which is flying at an altitude of 3000 feet, the angle of depression of an…

A: Given that Altitude of an aeroplane is 3000 feet  The angle of depression of an airport ground…

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 4 minutes (…

A:

Q: 5. From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26°. Determine,…

A:

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 8х — у %3D 3, Зх +…

A: The angle between the two lines

Q: 1. From the top of a 100-ft building a man observes a car moving toward him. If the angle of…

A:

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We have, Height of redwood, P=350 foot Angle of elevation,   According to the rule of trigonometry,…

Q: A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1000 feet…

A:

Q: Find the area of the sector of a circle of radius 12 units subtended by an angle of 17π/12 radians.…

A: We know that Area of sector whose subtended angle θ is A=θ2r2 As given  r=12                θ=17π12…

Q: A swimmer swims 1.3 mph in still water and wants to swim to a point B due north from her starting…

A: Vector addition

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: The goal posts of a hockey net are 2 metres apart. If a player wants to score while standing at a…

A:

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

A: Here height of the tower is h=a+b Now according to trigonometric ratios:…

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Suppose that the person height is negligible. Since it is a right angle triangle we can apply SOH ,…

Q: Two straight roads diverge at an angle of 40°, Two cars leave the intersection at 2:00 P.M., one…

A: Given,  Two straight roads diverge at an angle of 40°. Two cars leave the intersection at 2:00 P.M.,…

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Draw a horizontal line through the base of the tower. Angle of the tower with the hill= angle above…

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

Q: 3. If the tangent ratio of 0 is, which angle is 0? 3 cm P O 40 OLR O LP 5 cm None of these angles…

A: We have to find out angle

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A:

Q: A boat is approaching a cliff known to be 40 m tall. If the angle of elevation from the boat is 30°,…

A: According to given problem

Q: A woman standing on a hill sees a flagpole that she knows is 35 ft tall. The angle of depression to…

A: It is given that, A woman standing on a hill sees a flagpole that she knows is 35 ft tall. The angle…

Q: A funicular carries passengers up an embankment to an observation point. If the length of the track…

A:

Q: Find the length of the are of a circle of diameter 6 meters subtended by a central angle of 2…

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,