altitude. At one point, the angle of depression to the airf flying 2 km more, the angle of depression is 74°. What between the airplane and the airfield when the angle 74°?

Q: 3. A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36° and…

A: From Given,

Q: From a point A on level ground, the angles of elevation of the top D and bottom B of a flagpole…

A:

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

Q: How tall is a building if you are 100 feet from the base and the angle of elevation is 60°

A: Tanθ = PB where P is perpendicular or height of the triangle and B is base of a triangle.

Q: A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35°. The…

A:

Q: A building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of…

A:

Q: television towers, each 100 meters tall, are 350 meters apart. Find the angle of elevation from the…

A:

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

A:

Q: From a hotel a window 30 meters above the ground, allan finds that the angle of elevation of the top…

A: We have to draw a diagram according to the question and then we have to find the unknown sides of…

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: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

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

A:

Q: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

A:

Q: A helicopter is flying over the ocean. They determine the angles of depression to two milepost, 10…

A: The angle of depression to two mileposts is 33° and 28° which are 10 miles apart. This can be shown…

Q: Kara is zip-lining in the rainforest. She is standing at the top of Platform A ready to zip-line to…

A:

Q: From the rooftop of a building. Nestor observes a tree and a house. The angle of depression of the…

A:

Q: A window in an apartment building is 15 m above the ground. From the window, the angle of elevation…

A: From the given problem the represented diagram is as shown below.

Q: If the distance e from a point directly below the plane in the picture to a radar station is 125…

A: Solution: The objective is to find the distance from the plane to the ground

Q: park. The angle of elevation from Sara to kite in the sky is 53° and the length of the string is 32…

A: Given:Here the angle of elevation is 53°The length of the string is 32 feet.To find:How…

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

A:

Q: You hike 400 feet up a steep hill that has a 25° angle of elevation as shown in the diagram. 400 ft…

A: Given, To Evaluate, a, b and m ∠B

Q: 75 feet The angle of depression from the top of a flag pole to a point on the ground is 30°. If the…

A:

Q: From a bedroom window of an apartment, Jack witness an accident at an angle of depression of 58…

A: Given Data: The angle of depression of the accident is: θ=58° The distance between the base of the…

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: Richard sees a balloon that is 100 ft above the ground. If the angle of elevation from Richard to…

A: Given the angle of the elevation is 75 degrees. The given traingle is right angle traingle. Given…

Q: A fisherman at sea observed that the angle of elevation of a cliff is 18°. What is the distance…

A:

Q: The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore.…

A:

Q: A helicopter is hovering 110 feet in the air over a landing pad. If the landing agent sees the…

A:

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 27 foot ladder. How…

A: We have to find the length

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: A sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the torch…

Q: Airplane landing A pilot, flying at an altitude of 5000 feet, wishes to approach the numbers on a…

A: A pilot , flying at an altitude of 5000 ft, wishes to approach the numbers on a runway at an angle…

Q: Alice, Bob, and Catherine stand at different points around the edge of a lake. The distance between…

A: Given  Distance between Alice and Bob = 158yd  Distance between Bob and Catherine  = 106yd  Angle…

Q: Two runners in a marathon determine that the angles of elevation of a news helicopter are 38 degrees…

A: given that angles of elevation of a news helicopter are 38 degrees and 45 degrees. helicopter is…

Q: _4. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the…

A:

Q: a girl 1.2m tall is 25m away from a tower 18m high.what is the angle of elevation of the top of a…

A:

Q: Sam is framing a closet under a stairway. The stairway is 14 ft 5 inch long and it’s angle of…

A:

Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of…

A:

Q: 13. The path from Crossley to Snow House is 600m long. The path from Crossley to Wallace is 40m. If…

A: Given that:                   Distance between Crossley to Snow House, a = 600mDistance between…

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

A:

Q: How tall is a building if you are 400 feet from the base and the angle of elevation is 55.1°   A:…

A: Let height of building be h.

Q: To estimate the height of a mountain, two students find the angle of elevation from a point (at…

A:

Q: Out for a walk in Chicago, Morgan measures the angle of elevation to the distant Willis Tower, and…

A:

Q: The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore.…

A:

Q: Find an angle θ in the second quadrant for which  sec?=−2sec⁡θ=−2 . Look for an angle between 0° and…

A:

Q: A man stands near an antenna tower and observes the angle of elevation to the top of the tower is…

A: Given: According to the question, the figure will be:

Q: At a point 500 miles north of a ship, the shoreline runs east and west. West of that point, the…

A:

Q: Ali sees a rocket at an angle of elevation of 11°. If A located 500 meters from the rocket's…

A: We know that in right angle triangle tanθ=altitudebase…

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: Let’s draw a figure for the given situation. Let AB be the height of the statue, C is the initial…

Q: The airline distance from Minneapolis to Chicago is 347 miles. It is 700 miles from Minneapolis to…

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.