A 39-ft ladder leans against a building so that the angle between the ground and the ladder is 85°. How high does the ladder reach on the building? Round answer to one decimal place. ft

Q: In the right triangle shown below, what is the sine of angle 0? 28.7 11.9 26.1

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: 9a. In a circle with a radius of 16 centimeters, what is the number of radians in the central angle…

A: a)    Working with radians, we have:             θ=sr             where θ is the angle in radians, s…

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

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

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: na circle of radius 5 m, an arc of length 11 m subtends a central angle of measure: radians

A:

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: This question is based on the concept of right angle triangle and trigonometric ratios.

Q: From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26 0 . Determine, correct…

A: Let AB be the cliff and A be the top of the cliff.Height of the cliff=18.2 mLet C be the floating…

Q: A 25 ft ladder is leaning against a building. If the base of the ladder is 8ft from the base of the…

A:

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

A:

Q: 20. How many radians of angle measure are equivalent to an angle of 1876 degrees ? *

A: The relation between measure in degree and measure in radians is given by, Given information: The…

Q: Determine the length (in feet) of the arc (AB) if the diameter of the circle is 10 feet and the…

A:

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

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

A:

Q: What is the reference angle of 100 radians? What quadrant is it in?

A: First write 100 radians into degrees, 100 radians=100×180π 0=5729.57770 The above angle can be…

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: A pendulum swings through an angle of 20° each second. If the pendulum is 40 inches long, how far…

A: Pendulum forms a circular arc.We know the formula - Angle subtended = ArcRadius…

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 reference angle for radians 11x 5

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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: f arc AC=129, find angle ADC,

A: We have been given the figure of the circle with the arc AC = 129 and we have to find the angle ADC.…

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

A:

Q: The Willis Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

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 the earth that subtends a central angle of 14…

A: Given: θ=14 minutes  =14×160 degrees = 730degrees,  radius r= 3960 miles Since, length of the arc is…

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

A: Given,

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

A:

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: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A: We have to find the length of the third side of the triangle.  We have that the length of the two…

Q: 9) (SCT) Suppose a 40 ft tree casts a shadow of length 60 ft. What is the angle of elevation (with…

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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: 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: 28. A circular arc has length 3 cm, and the radius of the circle is 2 cm. What is the measure of the…

A: Arc length =3cm Radius =2cm  Angle?

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: What is the radian measure of an angle of 75º?

A: Solve the following

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: The headlights of an automobile are set such that the beam drops 2.00 in. for each 26.0 ft in front…

A:

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

A:

Q: 11. A wire makes a 70° angle with the ground and is attached to the top of a 50 ft antenna. How long…

A: Given, Angle made with ground (θ)= 70° Height of the antenna =opposite side to the angle= 50 ft…

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

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

A:

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…

A:

Q: How long is an arc associated with an angle of 3.3 radians? km (Round to the nearest tenth as…

A:

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

A:

Q: If the angle of elevation of the sun is 72° 30', how tall is a post that casts a shadow 1.3 feet…

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.