A ship receives sonar reflections at an angle of depression of 31° from a submarine 27 km above the surface of water. How far is the ship from the submarine? Round to the nearest tenths.

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: 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: Find the area of the sector of a circle with diameter 36 feet and an angle of 5π8 radians.   Round…

A: Diameter of the circle is 36 feet , so radius of the circle is r=362=18 feet. central angle of the…

Q: What is the relationship between the radian measure of an angle and the length of the arc…

A: a unit circle is a circle of unit radius—that is, a radius of 1. radius = 1 angle measure(in…

Q: On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

A:

Q: 2. Find the ARC LENGTH given the radius is 3 inches and the central angle is 78°. Round to the…

A:

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 1 radians is…

A: It is known that length of an arc substending an angle θ radians is given by l = rθwhere r is the…

Q: A: Find the length of a circle with a diameter of 30 cm and its angle is 32°. arc

A:

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

A:

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 the central angle of a circle of radius 4 yards that intercepts an arc of…

A:

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

A:

Q: Find The link of an arc of a circle of diameter 14 m subtended by a central angle of 3pi/4 radians

A:

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

A:

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

A:

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

A:

Q: consider an angle that measures 5pi/4 radians. sketch the standard position

A: For the given angle  5π4 standard position of the angle is sketched as shown below

Q: Find the area of the sector of a circle with diameter 36 feet and an angle of 4π3 radians.   Round…

A:

Q: Find the radius r of the circle if an arc of length 50 cm on the circle subtends a central angle of…

A: given arc length= 50 cmangle =60°

Q: On a circle of radius 10 m, how long is an arc that subtends a central angle of (a) 4p>5 radians?…

A:

Q: The circle has a radius of 5 inches, and the arc length shown below is 9.5 inches. What is the…

A:

Q: If the angle of elevation of the sun is 70° 30', how tall is a post that casts a shadow 1.4 feet…

A:

Q: On a circle of radius 6 feet, give the degree measure of the angle that would subtend an arc of…

A:

Q: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: On a circle of radius 10 m, how long is an arc that subtends a centralangle of (a) 4π/5 radians? (b)…

A: From the given data:

Q: From a satellite 500 mi above the earth, it is observed that the angle formed by the vertical and…

A: The given question can be solved as shown in step2.

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: In a circle of radius 60cm an arc 116cm long subtends an angle of how many​ radians? How many​…

A:

Q: From the top of a cliff that is 70 m in height, the angle of depression of a sailboat on a lake is…

A: Solution: The objective is to find the distance from the base of the cliff to the sailboat.

Q: Evaluate the area of the sector of a circle if its radius is 9.4 cm and the angle subtended at the…

A:

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

A:

Q: On a circle of radius 8 feet, give the degree measure of the angle that would subtend an arc of…

A: We have to find angle subtended by arc length.

Q: Find the length of the arc of a circle of diameter 8 meters sub tended by a central angle 2pi/3…

A: Let "θ" be a central angle in a circle of radius "r". Let "s" be the length of the arc cut off by…

Q: What's the radius of a circle with an arc length of 15 feet that subtends a central angle by 3…

A: Given, Length of arc (l)=15 Central angle (theta)=3 radius of circle(r)=?

Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 5π/6 radians.   A =…

A: To find the area of the sector of a circle with a diameter of 32 feet and an angle of 5π/6 radians.

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 the length of the arc intercepted by a central angle of (2\pi )/(5) radians to a circle radius…

A:

Q: What is the arc length? (round to the nearest foot) 270° 13 ft

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: 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 sector of a circle has an angle of 150° ar Round your answer to the nearest tenth of

A:

Q: An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the angle of the…

A: Consider the angle θ at the center covered by the arc of length 123.53 mm. Here, the objective is to…

Q: Find the area of the sector of a circle with diameter 28 feet and an angle of radians. Round your…

A: detailed solution is given below

Q: On a circle of radius 10 m, how long is an arc that subtends a cen-tral angle of (a) 4pai/5 radians?…

A: (a)Consider the circle of radius 10 m. and central angle subtended by arc on circle is 4π/5 radians.

Q: A circular arc has measure 28 cm and is intercepted by a central angle of 2.9 radians. Find the…

A: Given, arc length=l=28 cm andθ=2.9 radians

Q: on a circle of radius 13km how long is an arc that subtends a central angle of (a) 6pi/7 radians?…

A:

Q: What is the radian measure of an angle of 230º?

A: We have to calculate Radian Measure of an angle of 230°

Q: What is the radian measure of a 300º angle

A:

Q: Assuming that a 320-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: The height of the redwood is 320-foot. The angle of elevation made on the top of tree is 55°

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