What is the length of a handrail for a flight of 16 stairs (Fig. 6-31), where each step is 30.5 cm wide and 22.3 cm high?

Q: 1. A house casts a shadow 168 cm long. At the same time, a light post casts a shadow 14 cm long. If…

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Q: 1. A carousel, with a diameter of 20 m, has 12 horses spaced around the circumference at equal…

A: Please see the answer in the next step.

Q: A triangle has two sides of length 18 and 13. What is the largest possible whole-number length for…

A: To find the largest possible whole number length for the third side.

Q: A 53 feet wire is used to brace a utility pole. If the wire is attached 5ft from the top of the 38ft…

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Q: How many sides has a regular polygon whose angle at the center is 30 degrees?

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Q: How many sides does a regular polygon have if each interior angle measure 108°?

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Q: How far from the base of a building must a 25-ft ladder be placed so that it reaches 20 ft up the…

A: We will use Pythagoras theorem to find solution to the problem .

Q: A triangle has two sides of length 14 and 8. What is the smallest possible whole- number length for…

A:

Q: Is there a regular polygon with 12 diagonals? If so, how many sides does it have?

A: Given The number of  diagonals of a regular polygon is 12 . Then, the number of sides of polygon…

Q: A triangle has two sides of length 14 and 20. What is the largest possible whole- number length for…

A:

Q: If the sun of the measures of the interior angles of a polygon is 1980°, how many siees does it…

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Q: A map is scaled in such a way that 4 cm represents 7 km of the actual distance. If two towns are 11…

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Q: If a 28-meter pine tree casts a shadow of 28 meters, how far is the tip of the shadow from the top…

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Q: What is the height, in feet, of the tree?

A: answer is in next step

Q: How high up on a wall does a 34-ft ladder reach if the bottom of the ladder is placed 16 ft from the…

A:

Q: A triangle has two sides of length 18 and 20. What is the largest possible whole-number length for…

A: Given : The length of the sides are 18 and 20

Q: 3. The arm and blade of a windshield wiper have a length of 34 inches. If the blade is 25 inches…

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Q: The diagonals of a non-isosceles trapezoid divide the midline into three segments, whose lengths are…

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Q: How far from a vertex is the opposite face of a tetrahedron if an angle is 50cm long?

A: Distance of vertex from opposite face of a tetrahedron will be

Q: A triangle has two sides of length 7 and 15. What is the smallest possible whole-number length for…

A:

Q: a welder has four pieces of scrap steel angle of lengths 3 1/4ft, 2 3/8 ft, 3 1/8ft, and 4 3/16ft.…

A: Given the length of four pieces of scrap:

Q: length

A:

Q: 2. The diagonal of a rectangular prism is 101 in. If the length is 12 in. and the width is 16 in.,…

A: Given : length of the prism = 12 in width of the prism =16 in  Diagonal = 101 in  We use the…

Q: How many sides does an equiangular polygon have if each interior angle measures 156 degrees?

A: Let the polygon be n-sided. Given that Each interior angle measures 156° So, ( 2n-4 ) × 90/ n =…

Q: In parallelogram ABCD, mZA= 61°. What is mLC?

A: In, parallelogram opposite angles are equal.

Q: What is the base of a parallelogram with an area of 156 cm2 and a height of 4 cm?

A:

Q: A piece of timber 273 cm long is cut into three parts in the ratio of 3 to 7 to 11. Determine the…

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Q: A triangle has two sides of length 12 and 20. What is the smallest possible whole- number length for…

A: Explanation of the solution is given below....

Q: 1, What is the length of RT?

A: here we have

Q: A 35 foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14…

A: A picture representing the given scenario is  given below SInce its a right angled triangle, Using…

Q: What is the distance in cm between two vertices of a cube which are farthest from each other if the…

A: We need to find the distance between  two vertices of a cube which are farthest from each  other if…

Q: If area of a triangular peice of cardboard is 90 cm2 , then The length of altitude corresponding to…

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Q: A triangle has two sides of length 10 and 20. What is the smallest possible whole- number length for…

A:

Q: A triangle has two sides of length 19 and 17. What is the smallest possible whole- number length for…

A: We know that the sum of any two sides of a triangle is greater than the third side or in other words…

Q: A triangle has two sides of length 13 and 9. What is the smallest possible whole- number length for…

A: Given,  A triangle has two sides of length 13 and 9. We need to calculate the length of third side…

Q: How many sides does a regular polygon have if each interior angle measures 108 °? How many sides…

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Q: The sum of the measures of the interior angles of a polygon is 2520 degrees. How many sides does…

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Q: What is the length of segment AB?

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Q: At a certain time of the day, a 6 ft man casts a 4 ft shadow. At the same time of the day, how tall…

A: From the given problem the representative diagram shown below:     From the concept of the similar…

Q: A manufacturer has to take a decision on what length of slabs to manufacture. What length would you…

A: First we have to find the frequency distribution : so, Length between 1.0 and 1.5 = 50-48 = 2…

Q: A triangle has two sides of length 14 and 5. What is the smallest possible whole-number length for…

A: A triangle has two sides of length 14 and 5. What is the smallest possible whole-number length for…

Q: A triangle has two sides of length 17 and 8. What is the largest possible whole-number length for…

A:

Q: The sum of the interior angles of a polygon of n sides is

A: For a polygon, Let the number of sides of a polygon is n. The sum of all the interior angles of a…

Q: Can you count how many triangles are there in the figure?

A: To count triangles

Q: A 13-meter ladder is leaning against a vertical wall. If the foot of the ladder is 5 meters away…

A: Given that 13-meter ladder is leaning against a vertical wall and at some time the foot of the…

Q: A triangle has two sides of length 10 and 2. What is the smallest possible whole- number length for…

A: Since, a triangle has two sides of length 10 and 2.Our aim is to find the smallest possible length…

Q: If the interior angle sum of a polygon is 3240 degrees, how many sides does it have?

A: Given: The interior angle sum of a polygon is 3240 degrees.

Q: If one segment in a kite measures 10 cm, then it is impossible for another segment to measure 17 cm.…

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Q: 10. If your classmate is 6 feet tall and casts a shadow of 4 feet at the same time that the flagpole…

A: Topic = Triangles

Q: How many sides does a polygon have if the sum of its angle measures is 2700 degrees?

A: Sum of all the interior angles of a polygon having n sides  =  (n-2)180o