A support wire 20 meters long runs from the top of a utility pole to a point on the ground 17 meters from the base of the pole.  What is the measure, to the nearest minute, of the angle formed by the pole and the wire?

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Q: A piece of wire is attached from the top of a 45 foot utility pole to a stake in the ground. If the…

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Q: 3. If a guy wire for a tree is 14 ft long, making 41° angle with the ground, how far is the base of…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: a circle of radius 7, the length of the arc that subtends a central angle of 300 degrees is…

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Q: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

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Q: What is the measure of the angle (with the ground) formed by a 11 ft ladder leaned against the top…

A: We know for a right angled triangle, sinθ=heighthypotenuse

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: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

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Q: A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: Explanation and Solution is given below....

Q: What is the length of an arc intercepted by a central angle of with a radius of 56cm?

A: Arc length is given by Arc length=2πrθ3600

Q: A playground slide is 14.5 feet long and the end of the slide 11.7 feet from the base of the ladder.…

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Q: A ladder is leaning against the top of a building. If the ladder is 12.5 m long and 3m from the base…

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Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

Q: A 32-foot tall Tadder rests against a vertical wall. If the top of the ladder reaches a point 18…

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Q: Estimate the error made in calcutating the area of the triangle ABC in which the sides a and b are…

A: Given: sides a= 25 cm and b= 16 cm  Angle C =60°=60°π180°=π3 Error in angle C is ∂c=12°×π180°=π360

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

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Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

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Q: What is the measure of the angle opposite the side that is 17 km long?

A: Given,            The measure of the angle opposite the side that is 17 km long.

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: Find the area of a triangle having two sides of lengths 8 meters and 12 meters and an included angle…

A: Triangle: Length of two sides of a triangle are 8m and 12m. The included angle is 1350 Let a=12m…

Q: What is the measure of the angle (with the ground) formed by a 17 ft ladder leaned against the top…

A: Find the angle of ladder formed with ground .

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: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: You want to make an 80 angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

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Q: What is the angle of depression from the start of a 6-foot-high access ramp that ends at a point 40…

A: Given Data: The height of the ramp is: y=6 ft The distance between endpoints along the ground is:…

Q: A 25-foot ladder is leaned against a house. If the base of the ladder is 8 feet away from the house,…

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Q: A 36 -ft ladder leans against a building so that the angle between the ground and the ladder is 83…

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

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Q: A cable wire is used to support a tower 250 m tall. If the cable makes an angle of 72" with the…

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Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

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Q: A guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground.…

A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: In order to meet safety guidelines, a roof contractor determines that she must place the base of her…

A: Given that a roof contractor determines that she must place the base of her ladder 4 feet away from…

Q: What is the measurement, in degrees, of the reference angle to an angle measuring 312°?

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Q: 2. A wire of length 200 feet is attached from the ground to the top of a telephone pole. If the…

A: Draw the figure

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Q: What is the exact height of a right triangle with an angle that measures 30 degrees adjacent to a…

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Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

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Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

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Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

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Q: A 73-foot rope from the top of a circus tent pole is anchored to the flat ground 43 feet from the…

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Q: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82. How…

A: Given: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82…

Q: At an altitude of 12,000 ft, a pilot sees two towns through angles of depres- sion of 37° and 48° as…

A: Using trigonometric ratio, tan37°=12000 ft.xx=12000 ft.tan37°=15924.53 ft.≈15920 ft.

Q: A 43​.0-m guy wire is attached to the top of a 31.6​-m antenna and to a point on the ground. How far…

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Q: What is the angle measure of ADH?

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Q: A kite is flying at a 28° angle on a 300 ft string. Assuming the string is straight,how high is the…

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Q: Find the area of a triangle having two sides of lengths 24 meters and 10 meters and an included…

A: Consider the given sides as, a=24, b=10 and C=62°

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.