A photographer frames a carousel in her camera shot so that the line of sight forms tangent segments to the carousel. If she wants to capture an arc measure of 150 degrees in the photograph, what viewing angle should be used? A 30° 90° 145° 180°

Q: The solar azimuth angle for a body whose length is half the length of its shadow is *

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Q: in a circle of radius 8 miles, the length of the arc that subtends a central angle of 6 radians is…

A: This question is related to arc and central angle of circle.

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: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

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Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 3 radians is…

A:

Q: Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute…

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Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 4 radians is…

A:

Q: The measure in radians of the central angle of a circle of radius 41 that intercepts an arc of…

A: let  θ be the central angle  s be  the intercepted arc length and  r is the radius of circle  the…

Q: In a circle of radius 6 miles, the length of the arc that subtends a central angle of 4 radians is…

A: Formulation: Let us consider the circle of radius r miles. Let the length of the arc that subtends a…

Q: Find the radian measure of a central angle given the radius and arc length.

A: To determine: The radian measure of a central angle given the radius and arc length.

Q: Find the radian measure of the central angle of a circle of radius 4 yards that intercepts an arc of…

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Q: In a circle of radius 18 inches, the length of the arc subtended by a central angle of 1.1 radians…

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Q: At a certain time, a vertical pole 3 m tall casts a 4 m shadow. What is the angle of elevation ofthe…

A: Given that at a certain time, a vertical pole 3 m tall casts a 4 m shadow we have to find the angle…

Q: A campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

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: Find the radian measure of angle 0, if 0 is the central angle in a circle of radius r, and 0 cuts…

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Q: Circle O shown below has a radius of 7 inches. Find, to the.nearest tenth, the radian measure of the…

A: We will use concept of circumference of circle.

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

Q: Find x, the angle of depression from the top of a lighthouse that is 187 ft above water level to the…

A: Angle of depression is 9.6°

Q: 3. In a circle whose radius measures 5 feet, a central angle intercepts an arc of length 12 feet.…

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Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 2 radians is…

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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: Determine value of angle a to the nearest tenth of a degree

A: Given that  sin α=13 in the interval π2<α<π cos β=-13in the interval π<β<3π2

Q: An airplane begins its descent with an average speed of 390 mph at an angle of depression of 23º.…

A: Given: Angle of depression is:  23° Average speed of its descent is: 390 mph

Q: Find the radian measure of the central angle of a circle of radius 5 yards that intercepts an arc of…

A:

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

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

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A maintenance technician sights the top of a telephone pole at a 25° angle of elevation as shown.…

A:

Q: A radian is the measure of a central angle in a circle that cuts off an arc equal in length tothe…

A: Fill the blank

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

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Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

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Q: A photographer frames a carousel in her camera shot so that the line of sight forms tangent segments…

A:

Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

A:

Q: In which quadrant is the reference angle unnecessary in finding the values of the trigonometric…

A:

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

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

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Q: Exercise 2. From a satellite 600 miles above the earth, it is observed that the angle 0 formed by…

A: In the given diagram, since its a right triangle, therefore sinθ=oppositehypotenuse Opposite is the…

Q: The radian measure of an angle u is the length of the_______________ that subtends the angle in a…

A:

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 2 feet? In radians: | 0.22…

A: Use concept of arc length

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: Suppose arc DB in the image below measures to be 128 degrees. What is the measurement of angle DCB?…

A: To solve the following problem

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

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: Find the radian measure of the central angle of a circle of radius 3 yards that intercepts an arc of…

A:

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: A building that is 225 feet tafl casts a shadow of various lengths as the day goes by. An angle of…

A:

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

A:

Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian

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.