Finding the Distance to a Plateau Suppose that you areheaded toward a plateau 50 meters high. If the angle ofelevation to the top of the plateau is 20°, how far are youfrom the base of the plateau?

Q: 2) While travelling across flat land, you notice a mountain directly in front of you. Its angle of…

A: Here we use the concept of trigonometric ratio

Q: Steps are being attached to a deck, as shown in the figure to the right. The bottom of the steps…

A: Topic   -  trigonometry

Q: The top of the lighthouse is observed from point M at 25.53 angle of elevation and sirmultaneously…

A:

Q: A kite's string is 25 feet long. The angle of elevation of the string of the kite is 32°. If a…

A: To find the height of the kite

Q: Height of a building From a point A that is 8.20 meters above level ground, the angle of elevation…

A: The point A is 8.20 m above the ground level. Let PQ be the building. A rough sketch for the…

Q: You are climbing a mountain by the steepest route at a slope of 25∘ when you come upon a trail…

A: The steepest route at a slope of 25°.Then we start the branch trail, the angle is 45°

Q: Sighting the top of a building, a surveyor measured the angle of elevation tobe 22°. The transit is…

A:

Q: 7. A ladder leans against a building. If the foot of the ladder is 6 feet from the building and the…

A:

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

Q: You are skiing down a mountain with a vertical height of 1600 feet. The distance from the top of the…

A:

Q: Height of a tower From a point P on level ground, the angle of elevation of the top of a tower is…

A: Refer the illustrative figure below.

Q: A police helicopter is flying at 800 feet. A stolen car is sighted at an angle of depression of 72°.…

A: Let the triangle formed by helicopter and stolen bar be triangle ABC; Sin a =Opposite/Hypotenuse =…

Q: A Kite is flying 115 feet above the ground. The length of the string to the kite is 150 feet…

A:

Q: 9. Leaning Ladder A 20-ft ladder is leaning against a building.If the base of the ladder is 6 ft…

A: The length of ladder is 20ft Base of building is 6ft away from building To find angle of elevation…

Q: Distance A hot-air balloon is held at a constant altitude by two ropes that areanchored to the…

A: To Determine: What is the distance between the points on the ground at which the two ropes are…

Q: 43 1000 Tis

A: Given, the altitude of the helicopter = 1000 ft height of the mountain =5210 ft  the angle of…

Q: a car is traveling on a road that goes up a hill. the hill has an angle of 17° relative to…

A:

Q: Height of a Hill A road up a hill makes an angle of 5 degree with the horizontal. If theroad from…

A:

Q: An escalator lifts people to the second floor of a building, 25 ft above the first floor. The…

A: according to question, an escalator lifts people to the second floor of a building 25 ft above the…

Q: A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground…

A:

Q: plane rises from take-off and flies at an angle of 6° with the horizontal runway. When it has gained…

A:

Q: A ladder is leaning against a building. The ladder is 16 meters long and it is sitting on the ground…

A:

Q: A tree grows at an angle of 4 degrees from the vertical due to prevailing winds. At a point 40…

A:

Q: A police helicopter is flying at 800 feet. A stolen car is sighted at an angle of depression of 72°.…

A: As angle PAC = 72 degree Hence angle BAC = 90-72 = 18 degree

Q: Finding the Distance to Shore The Willis Tower in Chicagois 1454 feet tall and is situated about 1…

A: Here, the length of the opposite side and angle is known. Let the length of the adjacent side is x.…

Q: A tower is on the top of a hill. It is 1900 feet from an observer to a point directly under the…

A: A rough sketch of the given problem is as follows:

Q: 14 A helicopter pilot sights a landmark at an angle of depression of 28°. The altitude of the…

A: Let ABC be a triangle where the base is BC and perpendicular is AB and . Then according to…

Q: A person is standing 150 feet away from a building and is looking up at the top of a 87 foot…

A: Let the angle be x .According to the problem : A person is standing at point C from the building and…

Q: A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway…

A: As per the information form a Triangle

Q: a water tower 30 m tall is loacated at the top of a hill. From a distance of D = 120 m down the hill…

A: angle of inclination of the hill is 48.18° detailed solution is given below

Q: bird

A:

Q: Using trigonometry to find angles of elevation or depression in ... A plane is 140 mi north and 195…

A: Solve for x

Q: A 40 meters high tower stands vertically on a hillside (sloping ground) which makes an angle of 18°…

A: T is the height of the tower.x is the horizontal distance between the tower and the tree.a is the…

Q: Jack is using a ladder to hang lights upon his house. He places the ladder 5 feet from the base of…

A: The angle of elevation is defined as the angle made by the line of sight to a point above the ground…

Q: An observer from the top of a light house 100m high above the sea level, the angle of depression of…

A:

Q: A plane rises from take-off and flies at an angle of 9° with the horizontal runway. When it has…

A: Use trigonometric ratios.sinθ = PerpendicularHypotenuse

Q: The angle of elevation to the top of the flagpole is 34° from a point 48 meters from the base of the…

A:

Q: A water tower 30 m tall is located at the top of a hill. From a distance of D = 120 m down the hill…

A: Given: A water tower 30m tall is located at the top of a hill. From a distance of D = 120 m  down…

Q: Leaning Ladder A 20-ft ladder leans against a building sothat the angle between the ground and the…

A: Given that : Ladder length = 20 ft and angle between the ground and the ladder is 72° .

Q: A plane takes off at a 15-degree angle of elevation. The plane's airspeed is 300 feet per second.…

A: →Angle of elevation is the angle made with horizontal axis in anti-clockwise direction. →Use…

Q: A tower is 1941 feet tall. The angle of elevation from the base of an office building to the top of…

A: a. The diagram can be drawn as follows: Consider the distance between the office building from the…

Q: 14 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 5 feet…

A: In the given question, concept of Pythagoras Theorem is applied. Pythagoras Theorem The Pythagorean…

Q: An airplane leaves the runway climbing at an angle of 18° with a speed of 275 feet per second. Find…

A: the speed of the airplane is given 275 feet/sec and we have to find the altitude of the plane after…

Q: A ladder placed against a wall such that it reaches the top of the wall of height 10 m and the…

A: Trigonometric value

Q: On a hill, inclined at an angle of 19 with the horizontal , stand a mango tree. At a point A 25…

A:

Q: A student  viewing a painting in a museum. Standing 6 ft from the painting, the eye level of the…

A: Given: According to the question figure will be:     To determine: angle AEB

Q: Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots…

A: Topic:- Trigonometric ratios  409.83 m far is the car from point P.

Q: 13) A20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58° with the…

A:

Q: A plane rises from take-off and flies at an angle of 6° with the horizontal runway. When it has…

A: Ans is given below

Q: In traveling across flat land, you notice a mountain directly in front of you. Its angle of…

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.