A train traveling up in inclined of 4° travels a horizontal distance of 4 km. how much altitude has the train gained?

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. А 30°…

A: Use the appropriate trigonometric ratio and find out the x.

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

A:

Q: 2. At a point 160 feet from a building, and in a horizontal line in its base, the angle of elevation…

A:

Q: 2. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15°. How…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A radio antenna, 20 ft high is located on top of a man-made platform.  A man situated on the ground…

A:

Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

A:

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: 3. (a) The Leaning Tower of Alpine has constructed 5° from perfectly vertical. When it casts a 20…

A: The schematic diagram of the problem is given below:

Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

A:

Q: A helicopter takes off from an airport at an angle of 10° 40' . How high will it reach after it has…

A: There are six trigonometric functions which are sine, cosine, secant, cosecant, tangent and…

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: The height of a radio tower is 800ft, adn the ground on one side of the tower sloped upward at an…

A:

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: A volleyball is hit when it is 4 ft above the groundand 12 ft from a 6-ft-high net. It leaves the…

A: Explanation: Firstly we will draw the diadram                                According to the…

Q: A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the…

A:

Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

A:

Q: The figure shows a 400-foot tower on the side of a hill that forms a 7° angle with the horizontal.…

A: Given a figure it shows a 400 foot tower on the side of a hill that forms 7 degree angle with the…

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

A: Form the right triangle and use trigonometric ratios.

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: A kite is flying at an angle of elevation of about 40°. All 80 m of stringhave been let out.…

A:

Q: An aircraft is climbing at a 30 degree an

A: Given: An aircraft is climbing at a 30∘ angle to the horizontal.

Q: A 14 foot ladder leans against a building. The angle between the ground and the ladder is 30…

A: A 14 feet ladder leans against a building. Angle between ground and ladder is 30°

Q: A plane departs from Brisbane and travels 1320km on a bearing of 133 degrees where it lands in…

A: to determine the required distances based on the given data

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

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 plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

A:

Q: The pilot of a small airplane flying 300 m above the ground notices a village off the left wing at a…

A:

Q: A ladder 16 feet long leans against the side of a building, and the angle formed by the ladder and…

A: Given, Length of ladder = 16 feet

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: If a train climbs at a constant angle of 1.25°, how many vertical meters has it climbed after going…

A: Now draw the figure according to given information

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A:

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

A:

Q: A ladder placed against a walll such that it reaches the top of the wall of height 6m and the ladder…

A: Given: A ladder is placed against a wall such that it reaches the top of the wall of height 6m and…

Q: Grove Street has a grade of 20%. That means that the street rises 20 ft for every 100 ft of…

A: We need to use trigonometric ratio to find the angle.

Q: 24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is…

A:

Q: An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly…

A: Question:An Air Force pilot making a preliminary aerial survey, first observed that when he flew…

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

Q: Find

A: Given that : Diameter = 30 feet Radius = 15 feet Length = 2 feet Inclination = 45 degrees

Q: A rocket is shot into the air at an angle of 60°. If it is traveling at 200 ft per second, how high…

A: Speed of rocket=200ft/sec Angle at which rocket is shot=60o To find the height of rocket from ground…

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

A:

Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

A:

Q: A building is locates at the end of a street that is inclined at angle of 8° with the horizontal. At…

A:

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: Given: Formula used: a2=b2+c2-2bc cos 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.