A lighthouse operator sights a sailboat at an angle of depression of 16°. If the sailboat is 120 ft away from the base of the lighthouse, how tall is the lighthouse? (2 decimal places)

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 2 radians is…

A: We can solve the given problem by using arc length method .

Q: The terminal side of angle α is in quadrant III. What sign, positive or negative, will the sine,…

A:

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: 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: In a circle of radius 2 miles, the length of the arc that subtends a central angle of 5 radians is…

A:

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: 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: Find the exact values of the sine, cosine, and tangent of the angle negative 5pie/12

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: 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: 25. In which quadrant would the terminal ray of an angle lie if it had a positive tangent and a…

A: Properties Quadrant I: cosine,tangent and sine are positive. Quadrant II: cosine and tangent are…

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

A:

Q: A movie screen is 6 meters high and 3 meters above the ground. Find the angle a (in radians to the…

A: To find- Angle a in radians.

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 baseball diamond (a square), the bases are 90 ft apart. Use the Law of Sines to find the…

A: we have the given information as   in a baseball field bases are 90 feet apart   we have to find…

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of π4…

A: The length of diameter of the circle, d=14 meters  Given central angle, θ=π4 radians

Q: On a circle of radius 48 feet, what angle would intercept an arc of length 40 feet? in radians: in…

A: given that radius of circle is 48feet and arc length of 40 feet

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

A:

Q: A 15ft ladder leans against a building so that the angle between the ground and the ladder is 71°.…

A: NOTE: Refresh your page if you can't see any equations. . here length of the ladder is AC=15 feet…

Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π/3…

A: Given that the diameter of circle is d=8 meters. Given arc is subtended by a central angle θ=π3…

Q: An irrigation sprinkler in a field of lettuce sprays water over a distance of 25 feet as it rotates…

A: We are going to slove above question and find the area of field

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 4 minutes (…

A:

Q: A wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest…

A: A wheel is rotating at 4 radians per second and the diameter of the wheel is 57 -  inches.Here, 1…

Q: Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a…

A: Given,

Q: Find the radian measure of an angle at the center of a circle with radius 73.0cm that intercepts an…

A: θ=measure of angle in radianr= radius = 73 cmarc length = 121 cm

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

A:

Q: Find the length of the arc of a circle of diameter 6 meters subtended by a central angle of 3π/4…

A: Given data: The diameter of a circle is 6 m. The angle  subtended by a central angle is 3π/4…

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: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A:

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 29 foot…

A: Use trigonometric ratio to solve

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: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 82…

A: Solve the following

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

A:

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

A: we know that for an angle of 2π radians the arc length is 2πr (circumference )therefore for angle θ…

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: A wheel is rotating at 5 radians/sec, and the wheel has a 83-inch diameter. To the nearest foot,…

A: Given that the diameter= 83 inch  so, radius=r=832=41.5 inch Given angular velocity=ω= 5 radians/sec…

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

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

A:

Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135…

A: Since, A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of…

Q: The rear wheel of a tractor has a 23​-in radius. Find the angle​ (in​ radians) through which a wheel…

A: The radius of the wheel is 23 in, the time taken to rotate the wheel is 13 sec and the speed of the…

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

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

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: Find the length of the are of a circle of diameter 6 meters subtended by a central angle of 2…

A:

Q: find to the nearest tenth of a foot, the length of the radius of a circle is central angle of three…

A:

Q: The proper angle for a ladder is about 75° from the ground. Suppose the ladder is 29 feet long. How…

A:

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: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 18 foot…

A:

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.