An airplane is flying a constant altitude of 100m above the ground. At that instant, it was recorded that the angle of depression of the airport is 40 degree. Find the horizontal distance between the airplane and the airport.

Q: A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye…

A: The arrangement of mother's eye level, ground level and playground forms a right angles triangle.…

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Q: From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures…

A: This question is related to height and distance, we will solve it using given information.

Q: an airplane is flying from New Orleans to Atlanta. As the airplane is about to finish its course,…

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Q: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

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

A: Answer

Q: A lifeguard is 6ft above ground. She sees a swimmer at an angle of depression of 8°. What is the…

A: Dear,as per company guidelines we can answer only one question at a time,kindly post other question…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: speed of the hot balloon=7feet per second angle of depression=36 degree time=1 minute and 30 second…

Q: A gun with muzzle velocity of 1200 ft >/sec is fired at an angle of 8° above the horizontal. Find…

A: It is given that the gun has the velocity 1200 ft/ sec which is fired at angle 8 degree.Compute the…

Q: The shadow of a 60 foot tall pole is 100 feet long. What is the angle of elevation from the end of…

A:

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A: Given, The height of plateau = 50 m The angle of elevation = 20o

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: A hawk is sitting on top of a tree that is 15 ft. high. It is watching a rabbit that is 18ft. from…

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: Given information are shown in below figure.

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second,…

A:

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: From a hot air balloon 2,500 feet above the ground, you see a clearing whose angle of depression is…

A: The height is 2,500 feet above the ground. The angle of depression is 25°

Q: The angle of depression from a hawk to a rabbit is 23 degrees, and the ground distance from the…

A: Here we have to first understand the question carefully and draw a diagram according to the details.…

Q: Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of…

A: Let’s analyse the given information pictorially.

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 polnt on the edge of a symmetrical canyon is 4500 ft above a river that cuts through The canyon…

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Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

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…

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Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

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Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1350 feet apart. As the…

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Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

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Q: Due to a storm, a pilot flying at an altitude of 586 feet has to land early. If he has a horizontal…

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Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

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Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

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Q: A loading ramp is 18 meters long with a height of 7 meters. What iš the angle

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

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

A:

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an…

A: Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an…

Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

A:

Q: The boat is 3 mi from both light houses and the angle between the line of sight to the lighthouses…

A:

Q: An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the…

A: Note: As per the company's policy we are supposed to solve only one question. Kindly repost the next…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A:

Q: The angle of depression from a helicopter to a landing pad is 65 degrees. If the horizontal distance…

A: Given that  The angle of depression from a helicopter to a landing pad is 65 degrees horizontal…

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: find the distance in the following way:-

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

A:

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

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Q: From a point on the ground 100 m from the foot of a cliff, the angle ofelevation of the top of the…

A: Given that from a point on the ground 100m from the foot of a cliff, the angle ofelevation of the…

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.