A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters to the ocean floor. How far does the diver need to swim along the ocean floor to get to the treasure chest? 12° 40 m 12°

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 8…

A: Solution: The objective is to find the distance along an arc on the surface of the earth

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the house…

A: Applying trigonometric ratios in the triangle

Q: Find the degree measure of an angle of radians. 10

A: Let the given angle be θ=7π10 radians

Q: The latitude of San Luis Obispo, California, is 35.282  0. Find the shadow angle for asundial in San…

A: Concept used: shadow angle for a sundial is given by the formula tanθ=sinαtanh·15° where α is the…

Q: The radius of a circle is 28 m. The arc length is 15 m. Find the angle expressed in radians and the…

A:

Q: Satellite 4500m hgh 2000m away Tower

A:

Q: The tangent of an obtuse angle is –7/18 Calculate the cosine of this angle to 4 decimal places.

A:

Q: A spring gun at ground level fires a golf ball atan angle of 45. The ball lands 10 m away. What was…

A:

Q: Find the reference angle for 3 radians JT

A:

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

A:

Q: Rounded to the nearest hundredth, how many degrees are contained in an measuring 3.2 radians? angle

A:

Q: The radian measure of an angle of 22 degrees is?

A:

Q: A 39-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A: To find the height

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

A:

Q: Find the measure of the central angle, e (in radians). 10

A: From the figure,   Given that the arc length = 10 unit   Radius = 5 units,

Q: c. What is sin()? Which angles, measured degrees, would have the same sine as sin()?

A: topic - angles

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Given : The angle of elevation to the top of the building is 69°. He then walks 240 feet farther…

Q: pts 5. A person stands 25 feet from the base of a building and measures the angle of elevation to…

A: Height of the bulding is

Q: Find the exact values of the sine, cosine, and tangent of the angle 345°

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Q: Find the reference angle for radians 11x 5

A:

Q: Find the degree measure of an angle of 24 radians. 5.

A:

Q: Find the reference angle for 510°. JT olo

A: Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. In other…

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: A lighthouse operator sights a sailboat at an angle of depression of 16°. If the sailboat is 120 ft…

A: Given: Angle of depression is 16° Distance between the sailboat and the base of the light house is…

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Since, a man standing near a building notices that the angle of elevation to the top of the building…

Q: Find the angle rounded to the nearest tenth of a degree given the trigonometric ratio  sin A =…

A: On solving ,we get

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

A:

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: The radian measure of an angle of 60 degrees is

A: It is conversion of degree into radian.

Q: The radius of a circle is 2. What is the measure, in radians, of the angle subtended by an arc 5 147…

A:

Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A: Using trigonometric identities.

Q: A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the…

A: From the given figure:     Corresponding to ∠A.   BC=Perpendicular=100ftAC=Base=249ftAB=Hypotenuse…

Q: Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10…

A: We can use the trigonometrical ratio in order to solve the given problem.

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

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: A 88-ft tree casts a shadow that is 150 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees.…

A:

Q: Find the reference angle 0'. = 3 0' = rad Sketch e in standard position and label 0'.

A:

Q: What is the radian measure of a 270° angle? What is the degree measure of a 5p>4-rad angle?

A: Given: Angle 270° and 5π4 radian.

Q: Use a form of the Law of Sines to find the measure of the indicated angle to the nearest degree. 6…

A: For the above triangle, Sine rule is given by xsin β=6sin 74°=6sin α

Q: ) sine = 0

A: Use trigonometric equations properties

Q: A car rolls forward 5 ft. The car wheel has a 16 in radius. Through what angle (to the nearest tenth…

A: Given Radius of wheel=16 inch A car roll forward = 5 ft = 5 x 12 = 60 inches

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 2…

A:

Q: 1. What is the radian measure of an angle of 750?

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Q: 8. The angle of elevation from a car to a tower is 32. The tower is 150 fn. tall. How far is the car…

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Q: What is the approximate radian measure of an angle with a degree measure of 59.6º?

A: To convert degree in to radian, multiply by π/180°. Simplify it

Q: A railroad track has an angle of elevation of 1.00°. What is the difference in height (in ft) of two…

A: Form a triangle

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

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

A:

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.