You stand 15 feet from the base of a water tower and look un at an angle of 78° at the top of the tower. Use a tangent ratio to estimate the height of the tower to the nearest foot.

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π5…

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Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

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Q: Match the trigonometric ratio with its description

A: One of the trigonometric ratios is the sine ratio. It is the opposite side above the hypotenuse of…

Q: The ________ speed of a particle is the ratio of the change in the central angle to the elapsed…

A: The ........ speed of a particle is the ratio of the change in the central angle to the elapsed…

Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

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Q: Describe what happens to the tangent of an acute angle as the angle gets close to 90°.

A: As the angle gets close to 90°, then the adjacent becomes almost 0.

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: A 12-foot ladder leans against a building and reaches a window 10 feet above ground. What is the…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE BELOW.

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π/4…

A: Given- Diameter of circle is 10 m Central angle is π4 radians. To find the length of the arc of a…

Q: It takes 791 horizontal feet for a submarine to submerge 371 feet. What is the angle of depression,…

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Q: A loading ramp is 21 m long with a height of 7 m. What is the angle of incline that the ramp forms…

A: The length of the loading ramp, l = 21 m and the height of the ramp is h = 7 m To evaluate : The…

Q: The tangent of an angle is ____ greater than 1 .

A: We have to find at what angle the tangent greater than 1.

Q: if you answer this THANK U

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Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: the acute angle (in radians) between the two straight lines y=3x +2 and y=4x+7 is closest to what…

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Q: An object is traveling around a circle with a radius of 10 centimeters. If in 20 seconds a central…

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

A: Given Diameter (d) = 14 m And central angle (θ) =3π/4 radians

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

Q: A hummingbird is flying toward a large tree that has aradius of 6 feet When it is 31 feet from the…

A: Given figure is

Q: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

Q: Find the length of the arc of the circle of diameter 8 meters subtended by a central angle of pi/5…

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Q: If you are given the coordinates where the terminal side of an angle intersects with the unit…

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Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

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Q: What is the angle of elevation of the top of the pole 10m high from an observer who is 10m away from…

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Q: Apply the tangent ratio to determine the length of the leg. 11) Meryl is standing 100.5 feet from…

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Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π6…

A: The arc length of the circle having radius r and which subtend angle  θ at the center is given by,…

Q: What is the arc measure of minor arc DC in degrees?

A: Aa per vertical angle theorem angles which are opposite to each other and form by intersecting line…

Q: Find the tangent ratio of angle BCK.

A: Fake triangle ABK, We know that total interior angles of a triangle sum up to 180°. A+B+K=180°…

Q: A projectile is fired at a speed of 840 m/ sec at an angle of 60°. How long will it take to get 21…

A: Given:

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 189 ft above water level to the…

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Q: If you know the cotangent value for a given angle, how can you find the tangent value for that same…

A: The solution is :

Q: A car travels at 70mph and has 28 inch in diameter tires. What is the angular speed of a point on…

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Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: An object is traveling around a circle with a radius of 6 centimeters.  If in 20 seconds a central…

A:

Q: A woman is standing 15 meters away from a 20-meter tall building. At what angle is she looking to…

A: Given that height of building=20 meter a woman standing 15 meters away  find the angle she is…

Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π4…

A: Note that, the arc length of a circle with radius r and subtending and angle θ is given by S=rθ.…

Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

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Q: Find tangent of angle r as decimal rounded to four places

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Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of '플…

A: Given : Diameter = 10 m

Q: Find the angular velocity in radians per second when rotating through a central  angle of 340º in 4…

A: NOTE: Refresh your page if you can't see any equations. . given central angle is 340 degrees and…

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

A: We need to find the arc length of the above figure. We have radius = 13 ft and angle = 270o. So,…

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.