Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is 20°, how far are you from the base of the plateau?

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

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

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Q: Find the inclination (in radians and degrees) of the line passing through the points:   (square root…

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Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

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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: Suppose you are headed towarda plateau 47 m high. If the angle of elevation to the top of the…

A: The solution of the problem is given in the next step.

Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used -                           sinθ =OppositeHypotenuse

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: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: At a certain time of day your shadow is 6 feet long. What would be your angle of elevation to the…

A: First, draw the diagram depicting this scenario. Then, use the tangent ratio to determine the angle…

Q: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

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: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

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

A: According to Given problem

Q: If your standing on the trail 220 feet from the bottom of a tree, you have to look up at a 60 degree…

A: Topic-hight & distance trigonometry

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

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Q: an airplane is heading north at an airspeed of 600 KM/HR, but there is a wind blowing from the south…

A: Consider the vector graph:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

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

A:

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

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Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

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Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

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Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

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Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

A:

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

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: The angle of elevation to the top of a flagpole is 40° from a point 30 meters away from the base of…

A: Let the height of the flagpole be h. In a right angled triangle, the tangent of an angle(other than…

Q: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: An object is traveling around a circle with a radius of 8 feet.If in 40 seconds a central angle of…

A: Angular speed , ω =Angle Time  = θT Linear speed, v = ω.r ; where 'r' is radius and 'ω'  is Angular…

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: Suppose you are headed toward a plateau 47 m high. If the angle of elevation to the top of the…

A:

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

Q: 2. A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A:

Q: At one point in time a person observes from a point 300 meters away a hot air balloon climbing…

A: NOTE: Refresh your page if you can't see any equations. .

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.