35° 53° 200 ft

Q: from a hot air balloon 2 km high, a person look east sees one town with angle of depression of 12…

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Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

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: A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles…

A: Let us suppose the distance of the boat towards south is y. Let the angle of the boat from the…

Q: For an acute angle θ, the equation sin(θ) = cos(84) is true. What is the value of θ?

A: The equation is given by sinθ = cos84° Where θ is an acute angle To evaluate : The value of θ

Q: the distance, in feet, from the base of the conveyor belt to the building

A: Given, A 15-foot conveyor belt for raising and lowering supplies is leaning against a building at a…

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

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Q: 17 Use a half-angle formula to find the exact value of sec 12

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Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

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Q: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

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Q: Use a calculator to find the value of the acute angle θ to the nearest degree, sin u = 0.2974

A: According to the question, we have to find the value of sin u=0.2974 to the nearest degree using…

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

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Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

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Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot,…

A: Explained below

Q: Find the area of a circle with diameter 36 feet and an angle of 4Pi/3 radians. Round your answer to…

A: Answer:678.584ft2

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

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

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Q: The angle between 0 and 2 in radians that is coterminal with the angle 69 10 Tin radians is

A: Given, θ=6910π

Q: Find the absolute value of the radian measure of the angle that the second hand of a clock moves…

A: Degree & Radian: The  absolute value of the radian measure of the angle that the second hand of…

Q: The angle between 0 and 27 in radians that is coterminal with the angle 14 5 Tin radians is

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Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

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Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: The angle between 0 and 2Pi(360) in radians that is terminal with the angle 20/7Pi in radians is…

A: To find the angle between 0 to 2π in radians which is terminal with the angle 20π7 in radians. To…

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

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Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

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Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

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Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: From a window 33.0 ft above the​ street, the angle of elevation to the top of the building across…

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Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

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Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

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Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: At a point 40 feet from the base of a church, the angles of elevation to the bottom of the steeple…

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Q: With respect to the given angle of a right triangle, what is the ratio of the opposite side to the…

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Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

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Q: 7. Determine the measure of an angle in Quadrant 3 which would have the same sine value as 185°

A: We can use this formula to find the measure of the angle in third quadrant, sin y = -sin(y-180),…

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

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Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

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Q: Use a calculator to find the value of the acute angle θ to the nearest degree, cos u = 0.8771

A: Consider the provided information, cosθ=0.8771 Use a calculator to find the value of the acute angle…

Q: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

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.