The diameter of a Ferris wheel is 163 feet. The top of the wheel stands 175 feet above the ground. The figure below is a model of the Ferris wheel with angle ? the central angle that is formed as a rider moves from the initial position P0 to position P1. The rider is h feet above the ground at position P1. (Round your answers to the nearest whole number.) (a) Find h if ? is 120.0°. (b) Find h if ? is 210.0°. (c) Find h if ? is 315.0°.

Q: A hot-air balloon is flying over a dry lake when the wind stopsblowing. The balloon comes to a stop…

A: In △ACD, tan 12∘=DCACAC=450tan 12∘=4500.2125≈2117 ft

Q: A ramp 17 ft long rises to a platform that is 14 ft off the ground. Find x, the angle of elevation…

A: In a right angled triangle:- Sin X = Perpendicular/Hypotenuse

Q: 2. A ladder 40 feet long is placed so as to reach a wall 30 feet high. 40 feet 30 feet Ladder Wall a…

A:

Q: please help

A: Here we have to find the pitch of the roof,   The length of the base of the roof is 10 ft

Q: Refer to the figure on the right. An antenna pole is supported by wires pegged to the ground. Point…

A:

Q: Observers at P and Q are located on the side of a hill that is inclined 32° to the horizontal, as…

A: Basic trignometric problem

Q: A ramp 21 ft long rises to a platform that is 16 ft off the ground. Find x, the angle of elevation…

A: A ramp 21 ft long rises to a platform that is 16 ft off the ground. Find x, the angle of elevation…

Q: a communication antennae of height 12.5m is attached to the roof of a school and held in place with…

A: Explained below

Q: As shown in the figure below, Keith is looking at a tree that is leaning at an angle of 79° with…

A: Topic = Trigonometry

Q: As shown in the figure below, Raina is looking at a tree that is leaning at an angle of 79° with…

A: Consider the figure,

Q: 9. A ship leaves port with a bearing of N62°E. After traveling 15 miles, the ship then turns 90° and…

A: We’ll answer  question #9 . Please submit a new question specifying the one you’d like answered Make…

Q: 5) A prince is standing 100 meters from the base of a tower where a beautiful princess is being held…

A: →Angle formed between the horizontal line and line of sight of observer is called the    angle of…

Q: A helicopter hovers 1000 feet above a small island. The figure shows that the angle of depression…

A: Given: here, we have to find value of d we know that in triangle angle at p will be 36∘ and in…

Q: An airplane makes a 15 angle of elevation from the runway when it takes off. The airplane pictured…

A: 1) The ratio of perpendicular (P) to base (B) of the triangle is called the tangent of the angle.…

Q: 6) A lion is crouched under some bushes near an 18 foot tree. If he sees his prey at the top of the…

A:

Q: 1. An observer stands 750 yards from the launch pad of a model rocket. As the rocket rises, the…

A: For a right angled triangle, using the cosine rule, it can be written that cos θ=bh, where b is the…

Q: How far apart are the two fires

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Q: As shown in the figure below, Mary is standing 33 feet from the base of a leaning tree, The length…

A: To find out the angle theta.

Q: 9. A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of…

A:

Q: A surveyor measures the top of a lighthouse 70 ft. Away from him. His angle-measuring device is 4…

A:

Q: On a recent bike ride, Juliana saw a tall flagpole and its 35 ft. long shadow. The angle of…

A:

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 229 km apart. If one…

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Q: A ramp 18 ft long rises to a platform. The bottom of the platform is 11 ft from the foot of the…

A: According to given condition , we have a right angled triangle with hypotenuse =18 , base =11,…

Q: As shown in the figure below, Debra is looking at a tree that is leaning at an angle of 84° with…

A:

Q: As shown in the figure below, Ann is standing 36 feet from the base of a leaning tree. The length of…

A:

Q: A helicopter hovers 1000 feet above a small island. The figure shows that the angle of depression…

A:

Q: The figure below is a simplified model of a Ferris wheel with diameter 230 feet. The top of the…

A:

Q: he angle of elevation from a viewer to the top of a flagpole is 50°. The viewer is 80 ft away and…

A: here x is the distance from the top to the height of the viewer. first draw the diagram

Q: A ramp 38 ft long rises to a platform. The bottom of the platform is 20 ft from the foot of the…

A: Given,

Q: As shown in the figure below, Jenny is standing 37 feet from the base of a leaning tree. The length…

A: To find the value of angle

Q: Michael stands 7 feet from a table, and notices a plate resting on the edge of the table. The top of…

A:

Q: From the top of a 267 foot lighthouse a plane excited overhead and a ship is observed directly below…

A: Rounding to the nearest foot the Answer will be 276 ft

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

A:

Q: 12. A planes leaves an airport with a bearing of S41W. After traveling 24 miles, the plane turns and…

A:

Q: As shown in the figure below, Milan is standing 29 feet from the base of a leaning tree. The length…

A: Milan is standing 29 feet from the base of the tree. The length of the tree is 74 feet.The angle of…

Q: The designers of a water park are creating a new slide ans have sketched some preliminary drawings.…

A:

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

A: Let,H=height of mountain in metersDraw the figure,

Q: As shown in the figure below, Isabel is standing 29 feet from the base of a leaning tree. The length…

A:

Q: the plain, the team observes that the angle of elevation to the top of the mountain is 26°. From a…

A:

Q: Wally leaves the dock at a small lake and paddles his kayak at a bearing of 340° for 300m to point A…

A:

Q: Jane is running laps on a circular track that has a radius of 115 meters. She starts at the 3…

A:

Q: As shown in the figure below, Chris is looking at a tree that is leaning at an angle of 79° with…

A: Given that:

Q: Answers 82. A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude…

A: 82)  Given: In the right triangle,  Hypotenuse = 1475 m  Opposite = 350 m   To find the angle of ski…

Q: 4. Jacob is flying a kite in a park. The kite string is 65 meters long and forms a 45° angle with…

A:

Q: You are standing at the peak of a 1500 meter mountain. You look down below and spot the tent you are…

A: Let A be the peak of mountain, Let the tent is at C

Q: After a wind storm, a farmer notices that his 34-foot windmill may be leaning, but he is not sure.…

A:

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: Maya is on vacation at a tropical bay that has three islands. She rents a boat on Island A and plans…

A:

Q: In order to estimate the height of a building, two students stand at a certain distance from the…

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Q: The figure below is a simplified model of a Ferris wheel with diameter 210 feet. The top of the…

A: Given that       The figure below is a simplified model of a Ferris wheel with diameter 210feet. 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.