A light bulb is to be hung above the center of a round table. What height gives the best illumination of the edge of the table?

Q: Consider an isosceles triangle whose leg measures 2 cm. Let 0 be the vertex angle (the angle between…

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Q: Drag a pair of corresponding angles into the boxes and describe their relationship.

A: ∠PRQ and ∠SUT are congruent

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. How…

A: Given,A ladder is 20 feet longforming an angle of 71° with the level ground.

Q: A 6-foot ladder leans against a wall so that the angle between the ground and the ladder is 78 How…

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Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

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Q: A girl used a ladder 6m long to climb the top of a dike whose sides are inclined 42 degrees with the…

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Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

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Q: The hanger is unbalanced. Which side will it tip over?

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Q: A pattern of shapes that fit perfectly together is called Blank 1.

A: When we put a pattern of flat shapes together so that we leave no gaps in between them is…

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

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Q: What is the measure of the missing angle.

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Q: The hypotenuse of a right triangle is twice as long as one of the legs. How long is the other leg?…

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Q: From a hot air balloon 2,500 feet above the ground, you see a clearing whose angle of depression is…

A: The height is 2,500 feet above the ground. The angle of depression is 25°

Q: Find the measure of an angle that is twice as large as its supplement.

A: Given: Let the required angle be 2x and the supplement angle be x

Q: If the perimeter of a sector is 4 times its radius then the radius measure of the central angle of…

A: Given that: P = 4R, where P = Perimeter of the sector and R = radius of the circle

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: The angle of inclination from the base of the John Hancock Center to the top of the main structure…

A: Given that, The angle of inclination of the Willis Tower is 10.3°. The height of the Willis Tower is…

Q: A polnt on the edge of a symmetrical canyon is 4500 ft above a river that cuts through The canyon…

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Q: The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the…

A: It is known that the table is in the shape of a regular hexagon.

Q: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

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Q: A ladder is mounted on a fire truck that is 8 feet above ground. If the maximum length of the ladder…

A: Given: A ladder of maximum length 120 feet is mounted on the fire truck which is 8 feet above the…

Q: From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. What must be the…

A: Given:- From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. To find:-…

Q: A triangle with a perimeter of 13 centimeters is rotated and reflected in the coordinate plane. What…

A: The perimeter of the resulting image is still   13cms.   Given to us,   the perimeter of the…

Q: A water sprinkler head is designed to shoot a stream of water a distance of 42 feet and rotate…

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Q: What is the relationship between the degree measure and theradian measure of an angle?

A: Relationship between degree and radian is given below. 1 radian=180π degrees. To convert radian into…

Q: As the number of sides of a regular polygon increases, does each interior angle increase or decrease…

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Q: What best describes the pair of angles below?

A: Consider the given figure.

Q: The arm of a Ferris wheel starting from the center to its passenger seat has a length of 80 ft. How…

A: Topic - circles

Q: In a right triangle, the bisector of the right angle divides the hypotenuse into segments that…

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Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: When a hexagonal figure with equal sides is rotated, then the angle of rotation is _________.

A: Known fact: Angle of rotation is the smallest angle in which the figure is turned to make it look…

Q: Find the measure of the bolded angle.

A: The measure of the bolded angle  8x + 14 can be calculated using the property of vertical opposite…

Q: The height of a radio tower is 450 ​feet and the ground on one side of the tower slopes upward at an…

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Q: From the second floor of Building I, an observer estimates the angle of elevation to the top og…

A: Given:  From the second floor of Building I, an observer estimates the angle of elevation to the top…

Q: Six identical pieces are cut from a strip of cardboard and assembled into a hexagonal picture frame…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is…

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Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

A: If a regular polygon has n sides then the sum of interior angles of a polygon is  Sum of interior…

Q: Is the vertex of an angle in its exterior? Why or why not?

A: The point at which the two rays meet or begin is known as the vertex of an angle.

Q: What is the sum of the angle measures in this shape?

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Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

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Q: What is the measure of the exterior angle of a regular octagon?

A: Given : To determine the measure of the exterior angle of a regular octagon.

Q: Find the measure of an angle that is half as large as its complement.

A: let the measure of the angle is m∠Aand measure of its complement angle is m∠B. sine it is given that…

Q: A part of the pole in the diagram was marked 3m high when the angle of elevation was set at 20. Its…

A: Given

Q: A person is sitting watching TV. What is the height of the entire screen (in grey shadow)?

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Q: A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

Q: What shape would you get if you cut off one of the corners of a rectangular prism?

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